diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index b0b32fe..1836a10 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -2294,12 +2294,8 @@
 
     # Algorithms and key types to accelerate
     loc_accel_list="ALG_ECDSA ALG_DETERMINISTIC_ECDSA \
-                    $(helper_get_psa_key_type_list "ECC")"
-
-    # Note: Those are handled in a special way by the libtestdriver machinery,
-    # so we only want to include them in the accel list when building the main
-    # libraries, hence the use of a separate variable.
-    loc_curve_list="$(helper_get_psa_curve_list)"
+                    $(helper_get_psa_key_type_list "ECC") \
+                    $(helper_get_psa_curve_list)"
 
     # Configure
     # ---------
@@ -2324,7 +2320,7 @@
 
     helper_libtestdriver1_make_drivers "$loc_accel_list" "$loc_extra_list"
 
-    helper_libtestdriver1_make_main "$loc_accel_list $loc_curve_list"
+    helper_libtestdriver1_make_main "$loc_accel_list"
 
     # Make sure this was not re-enabled by accident (additive config)
     not grep mbedtls_ecdsa_ library/ecdsa.o
@@ -2341,12 +2337,8 @@
 
     # Algorithms and key types to accelerate
     loc_accel_list="ALG_ECDH \
-                    $(helper_get_psa_key_type_list "ECC")"
-
-    # Note: Those are handled in a special way by the libtestdriver machinery,
-    # so we only want to include them in the accel list when building the main
-    # libraries, hence the use of a separate variable.
-    loc_curve_list="$(helper_get_psa_curve_list)"
+                    $(helper_get_psa_key_type_list "ECC") \
+                    $(helper_get_psa_curve_list)"
 
     # Configure
     # ---------
@@ -2369,7 +2361,7 @@
 
     helper_libtestdriver1_make_drivers "$loc_accel_list"
 
-    helper_libtestdriver1_make_main "$loc_accel_list $loc_curve_list"
+    helper_libtestdriver1_make_main "$loc_accel_list"
 
     # Make sure this was not re-enabled by accident (additive config)
     not grep mbedtls_ecdh_ library/ecdh.o
@@ -2443,12 +2435,8 @@
     msg "build: full with accelerated PAKE"
 
     loc_accel_list="ALG_JPAKE \
-                    $(helper_get_psa_key_type_list "ECC")"
-
-    # Note: Those are handled in a special way by the libtestdriver machinery,
-    # so we only want to include them in the accel list when building the main
-    # libraries, hence the use of a separate variable.
-    loc_curve_list="$(helper_get_psa_curve_list)"
+                    $(helper_get_psa_key_type_list "ECC") \
+                    $(helper_get_psa_curve_list)"
 
     # Configure
     # ---------
@@ -2464,7 +2452,7 @@
 
     helper_libtestdriver1_make_drivers "$loc_accel_list"
 
-    helper_libtestdriver1_make_main "$loc_accel_list $loc_curve_list"
+    helper_libtestdriver1_make_main "$loc_accel_list"
 
     # Make sure this was not re-enabled by accident (additive config)
     not grep mbedtls_ecjpake_init library/ecjpake.o
@@ -2487,12 +2475,8 @@
                     KEY_TYPE_ECC_PUBLIC_KEY \
                     KEY_TYPE_ECC_KEY_PAIR_BASIC \
                     KEY_TYPE_ECC_KEY_PAIR_IMPORT \
-                    KEY_TYPE_ECC_KEY_PAIR_EXPORT"
-
-    # Note: Curves are handled in a special way by the libtestdriver machinery,
-    # so we only want to include them in the accel list when building the main
-    # libraries, hence the use of a separate variable.
-    loc_curve_list="$(helper_get_psa_curve_list)"
+                    KEY_TYPE_ECC_KEY_PAIR_EXPORT \
+                    $(helper_get_psa_curve_list)"
 
     # Configure
     # ---------
@@ -2525,7 +2509,7 @@
                     ALG_SHA3_224 ALG_SHA3_256 ALG_SHA3_384 ALG_SHA3_512"
     helper_libtestdriver1_make_drivers "$loc_accel_list" "$loc_extra_list"
 
-    helper_libtestdriver1_make_main "$loc_accel_list $loc_curve_list"
+    helper_libtestdriver1_make_main "$loc_accel_list"
 
     # ECP should be re-enabled but not the others
     not grep mbedtls_ecdh_ library/ecdh.o
@@ -2554,12 +2538,6 @@
 
     msg "build: crypto_full minus PK with accelerated EC algs and $desc curves"
 
-    # Algorithms and key types to accelerate
-    loc_accel_list="ALG_ECDSA ALG_DETERMINISTIC_ECDSA \
-                    ALG_ECDH \
-                    ALG_JPAKE \
-                    $(helper_get_psa_key_type_list "ECC")"
-
     # Note: Curves are handled in a special way by the libtestdriver machinery,
     # so we only want to include them in the accel list when building the main
     # libraries, hence the use of a separate variable.
@@ -2583,6 +2561,13 @@
         loc_curve_list=$loc_non_weierstrass_list
     fi
 
+    # Algorithms and key types to accelerate
+    loc_accel_list="ALG_ECDSA ALG_DETERMINISTIC_ECDSA \
+                    ALG_ECDH \
+                    ALG_JPAKE \
+                    $(helper_get_psa_key_type_list "ECC") \
+                    $loc_curve_list"
+
     # Configure
     # ---------
 
@@ -2702,12 +2687,8 @@
     loc_accel_list="ALG_ECDSA ALG_DETERMINISTIC_ECDSA \
                     ALG_ECDH \
                     ALG_JPAKE \
-                    $(helper_get_psa_key_type_list "ECC")"
-
-    # Note: Those are handled in a special way by the libtestdriver machinery,
-    # so we only want to include them in the accel list when building the main
-    # libraries, hence the use of a separate variable.
-    loc_curve_list="$(helper_get_psa_curve_list)"
+                    $(helper_get_psa_key_type_list "ECC") \
+                    $(helper_get_psa_curve_list)"
 
     # Configure
     # ---------
@@ -2727,7 +2708,7 @@
                     ALG_SHA3_224 ALG_SHA3_256 ALG_SHA3_384 ALG_SHA3_512"
     helper_libtestdriver1_make_drivers "$loc_accel_list" "$loc_extra_list"
 
-    helper_libtestdriver1_make_main "$loc_accel_list $loc_curve_list"
+    helper_libtestdriver1_make_main "$loc_accel_list"
 
     # Make sure any built-in EC alg was not re-enabled by accident (additive config)
     not grep mbedtls_ecdsa_ library/ecdsa.o
@@ -2810,12 +2791,8 @@
     loc_accel_list="ALG_ECDSA ALG_DETERMINISTIC_ECDSA \
                     ALG_ECDH \
                     ALG_JPAKE \
-                    $(helper_get_psa_key_type_list "ECC")"
-
-    # Note: Those are handled in a special way by the libtestdriver machinery,
-    # so we only want to include them in the accel list when building the main
-    # libraries, hence the use of a separate variable.
-    loc_curve_list="$(helper_get_psa_curve_list)"
+                    $(helper_get_psa_key_type_list "ECC") \
+                    $(helper_get_psa_curve_list)"
 
     # Configure
     # ---------
@@ -2835,7 +2812,7 @@
 
     helper_libtestdriver1_make_drivers "$loc_accel_list" "$loc_extra_list"
 
-    helper_libtestdriver1_make_main "$loc_accel_list $loc_curve_list"
+    helper_libtestdriver1_make_main "$loc_accel_list"
 
     # Make sure any built-in EC alg was not re-enabled by accident (additive config)
     not grep mbedtls_ecdsa_ library/ecdsa.o
@@ -2981,7 +2958,8 @@
     loc_accel_list="ALG_ECDSA ALG_DETERMINISTIC_ECDSA \
                     ALG_ECDH \
                     ALG_JPAKE \
-                    $(helper_get_psa_key_type_list "ECC")"
+                    $(helper_get_psa_key_type_list "ECC") \
+                    $(helper_get_psa_curve_list)"
     # Optionally we can also add DH to the list of accelerated items
     if [ "$test_target" = "ECC_DH" ]; then
         loc_accel_list="$loc_accel_list \
@@ -2989,11 +2967,6 @@
                         $(helper_get_psa_key_type_list "DH")"
     fi
 
-    # Note: Those are handled in a special way by the libtestdriver machinery,
-    # so we only want to include them in the accel list when building the main
-    # libraries, hence the use of a separate variable.
-    loc_curve_list="$(helper_get_psa_curve_list)"
-
     # Configure
     # ---------
 
@@ -3012,7 +2985,7 @@
 
     helper_libtestdriver1_make_drivers "$loc_accel_list" "$loc_extra_list"
 
-    helper_libtestdriver1_make_main "$loc_accel_list $loc_curve_list"
+    helper_libtestdriver1_make_main "$loc_accel_list"
 
     # Make sure any built-in EC alg was not re-enabled by accident (additive config)
     not grep mbedtls_ecdsa_ library/ecdsa.o