diff --git a/tests/opt-testcases/tls13-kex-modes.sh b/tests/opt-testcases/tls13-kex-modes.sh
index 1bfd1ede7..70a60672b 100755
--- a/tests/opt-testcases/tls13-kex-modes.sh
+++ b/tests/opt-testcases/tls13-kex-modes.sh
@@ -133,7 +133,7 @@ run_test    "TLS 1.3: G->m: all/psk, fail, key material mismatch" \
 requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/psk, good" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/psk, good" \
             "$P_SRV force_version=tls13 tls13_kex_modes=psk debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f70 \
@@ -152,7 +152,7 @@ run_test    "TLS 1.3: G->m: psk&dhe/psk, good" \
 requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/psk, fail, key id mismatch" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/psk, fail, key id mismatch" \
             "$P_SRV force_version=tls13 tls13_kex_modes=psk debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername wrong_identity --pskkey=6162636465666768696a6b6c6d6e6f70 \
@@ -170,7 +170,7 @@ run_test    "TLS 1.3: G->m: psk&dhe/psk, fail, key id mismatch" \
 requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/psk, fail, key material mismatch" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/psk, fail, key material mismatch" \
             "$P_SRV force_version=tls13 tls13_kex_modes=psk debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f71 \
@@ -305,7 +305,7 @@ requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/psk_ephemeral, fail, no common kex mode" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/psk_ephemeral, fail, no common kex mode" \
             "$P_SRV force_version=tls13 tls13_kex_modes=psk_ephemeral debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f70 \
@@ -439,7 +439,7 @@ requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/psk_all, good" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/psk_all, good" \
             "$P_SRV force_version=tls13 tls13_kex_modes=psk_all debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f70 \
@@ -459,7 +459,7 @@ requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/psk_all, fail, key id mismatch" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/psk_all, fail, key id mismatch" \
             "$P_SRV force_version=tls13 tls13_kex_modes=psk_all debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername wrong_identity --pskkey=6162636465666768696a6b6c6d6e6f70 \
@@ -478,7 +478,7 @@ requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/psk_all, fail, key material mismatch" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/psk_all, fail, key material mismatch" \
             "$P_SRV force_version=tls13 tls13_kex_modes=psk_all debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f71 \
@@ -613,7 +613,7 @@ requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/ephemeral_all, good" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/ephemeral_all, good" \
             "$P_SRV force_version=tls13 tls13_kex_modes=ephemeral_all debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f70 \
@@ -749,7 +749,7 @@ requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/all, good" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/all, good" \
             "$P_SRV force_version=tls13 tls13_kex_modes=all debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f70 \
@@ -769,7 +769,7 @@ requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/all, fail, key material mismatch" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/all, fail, key material mismatch" \
             "$P_SRV force_version=tls13 tls13_kex_modes=all debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f71 \
@@ -847,7 +847,7 @@ requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/psk_or_ephemeral, good" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/psk_or_ephemeral, good" \
             "$P_SRV force_version=tls13 tls13_kex_modes=psk_or_ephemeral debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f70 \
@@ -867,7 +867,7 @@ requires_gnutls_tls1_3
 requires_all_configs_enabled MBEDTLS_SSL_PROTO_TLS1_3 MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE MBEDTLS_SSL_SRV_C MBEDTLS_DEBUG_C
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_RSA_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_DHE_PSK_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
 requires_any_configs_enabled MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_RSA_ENABLED MBEDTLS_KEY_EXCHANGE_ECDHE_PSK_ENABLED
-run_test    "TLS 1.3: G->m: psk&dhe/psk_or_ephemeral, fail, key material mismatch" \
+run_test    "TLS 1.3: G->m: psk_or_ephemeral/psk_or_ephemeral, fail, key material mismatch" \
             "$P_SRV force_version=tls13 tls13_kex_modes=psk_or_ephemeral debug_level=5 psk_identity=Client_identity psk=6162636465666768696a6b6c6d6e6f70" \
             "$G_NEXT_CLI -d 10 --priority NORMAL:-VERS-ALL:-KX-ALL:-ECDHE-PSK:-DHE-PSK:+PSK:+VERS-TLS1.3 \
                          --pskusername Client_identity --pskkey=6162636465666768696a6b6c6d6e6f71 \