diff --git a/src/Magnum/Trade/MaterialData.h b/src/Magnum/Trade/MaterialData.h
index 3fe41fdcd..d765d0d70 100644
--- a/src/Magnum/Trade/MaterialData.h
+++ b/src/Magnum/Trade/MaterialData.h
@@ -2031,7 +2031,16 @@ class MAGNUM_TRADE_EXPORT MaterialData {
          * This enum is further extended in subclasses.
          * @see @ref Flags, @ref flags()
          */
-        enum class CORRADE_DEPRECATED_ENUM("use hasAttribute() etc. instead") Flag: UnsignedInt {
+        enum class
+        #if !defined(CORRADE_TARGET_EMSCRIPTEN) || __clang_major__ < 23
+        /* Clang 23 in Emscripten 5.0.2+ issues a deprecation warning inside
+           <type_traits> due to std::underlying_type used by EnumSet on this
+           enum. Not sure if it's because the STL headers are in ~/.cache or if
+           it's a general annoyance that'll happen with real Clang 23 as well,
+           for now just skipping the deprecation annotation to silence it. */
+        CORRADE_DEPRECATED_ENUM("use hasAttribute() etc. instead")
+        #endif
+        Flag: UnsignedInt {
             /**
              * The material is double-sided. Back faces should not be culled
              * away but rendered as well, with normals flipped for correct
diff --git a/src/Magnum/Trade/ObjectData2D.h b/src/Magnum/Trade/ObjectData2D.h
index e5d607faf..217f6d262 100644
--- a/src/Magnum/Trade/ObjectData2D.h
+++ b/src/Magnum/Trade/ObjectData2D.h
@@ -74,7 +74,16 @@ enum class CORRADE_DEPRECATED_ENUM("use SceneData instead") ObjectInstanceType2D
 
 @see @ref ObjectFlags2D, @ref ObjectData2D::flags()
 */
-enum class CORRADE_DEPRECATED_ENUM("use SceneData instead") ObjectFlag2D: UnsignedByte {
+enum class
+#if !defined(CORRADE_TARGET_EMSCRIPTEN) || __clang_major__ < 23
+/* Clang 23 in Emscripten 5.0.2+ issues a deprecation warning inside
+   <type_traits> due to std::underlying_type used by EnumSet on this enum. Not
+   sure if it's because the STL headers are in ~/.cache or if it's a general
+   annoyance that'll happen with real Clang 23 as well, for now just skipping
+   the deprecation annotation to silence it. */
+CORRADE_DEPRECATED_ENUM("use SceneData instead")
+#endif
+ObjectFlag2D: UnsignedByte {
     /**
      * The object provides separate translation / rotation / scaling
      * properties. The @ref ObjectData2D::transformation() matrix returns them
diff --git a/src/Magnum/Trade/ObjectData3D.h b/src/Magnum/Trade/ObjectData3D.h
index c67b51091..fba48ab5d 100644
--- a/src/Magnum/Trade/ObjectData3D.h
+++ b/src/Magnum/Trade/ObjectData3D.h
@@ -75,7 +75,16 @@ enum class CORRADE_DEPRECATED_ENUM("use SceneData instead") ObjectInstanceType3D
 
 @see @ref ObjectFlags3D, @ref ObjectData3D::flags()
 */
-enum class CORRADE_DEPRECATED_ENUM("use SceneData instead") ObjectFlag3D: UnsignedByte {
+enum class
+#if !defined(CORRADE_TARGET_EMSCRIPTEN) || __clang_major__ < 23
+/* Clang 23 in Emscripten 5.0.2+ issues a deprecation warning inside
+   <type_traits> due to std::underlying_type used by EnumSet on this enum. Not
+   sure if it's because the STL headers are in ~/.cache or if it's a general
+   annoyance that'll happen with real Clang 23 as well, for now just skipping
+   the deprecation annotation to silence it. */
+CORRADE_DEPRECATED_ENUM("use SceneData instead")
+#endif
+ObjectFlag3D: UnsignedByte {
     /**
      * The object provides separate translation / rotation / scaling
      * properties. The @ref ObjectData3D::transformation() matrix returns them
diff --git a/src/Magnum/Trade/PhongMaterialData.h b/src/Magnum/Trade/PhongMaterialData.h
index 7c9f92d8f..adcb53639 100644
--- a/src/Magnum/Trade/PhongMaterialData.h
+++ b/src/Magnum/Trade/PhongMaterialData.h
@@ -58,7 +58,16 @@ class MAGNUM_TRADE_EXPORT PhongMaterialData: public MaterialData {
          * A superset of @ref MaterialData::Flag.
          * @see @ref Flags, @ref flags()
          */
-        enum class CORRADE_DEPRECATED_ENUM("use hasAttribute() etc. instead") Flag: UnsignedInt {
+        enum class
+        #if !defined(CORRADE_TARGET_EMSCRIPTEN) || __clang_major__ < 23
+        /* Clang 23 in Emscripten 5.0.2+ issues a deprecation warning inside
+           <type_traits> due to std::underlying_type used by EnumSet on this
+           enum. Not sure if it's because the STL headers are in ~/.cache or if
+           it's a general annoyance that'll happen with real Clang 23 as well,
+           for now just skipping the deprecation annotation to silence it. */
+        CORRADE_DEPRECATED_ENUM("use hasAttribute() etc. instead")
+        #endif
+        Flag: UnsignedInt {
             /** @copydoc MaterialData::Flag::DoubleSided */
             DoubleSided = 1 << 0,