diff --git a/packages/docs-gesture-handler/docs/components/buttons.mdx b/packages/docs-gesture-handler/docs/components/buttons.mdx
index 34552ad0d6..854d65aa96 100644
--- a/packages/docs-gesture-handler/docs/components/buttons.mdx
+++ b/packages/docs-gesture-handler/docs/components/buttons.mdx
@@ -27,6 +27,8 @@ Gesture Handler library exposes components that render native touchable elements
 
 On top of that all the buttons are wrapped with [`Native gesture`](/docs/gestures/use-native-gesture) and therefore allow for all its [properties](/docs/gestures/use-native-gesture#config) to be applied to them.
 
+Button callbacks always run on the JS thread. The Reanimated-specific configuration ([`disableReanimated`](/docs/fundamentals/reanimated-interactions#disablereanimated), [`runOnJS`](/docs/fundamentals/reanimated-interactions#runonjs)) is not available on buttons, and passing a worklet as a callback does not move it to the UI thread.
+
 
 ## RawButton
 
diff --git a/packages/docs-gesture-handler/docs/components/wrapped-components.mdx b/packages/docs-gesture-handler/docs/components/wrapped-components.mdx
index 960c349a9a..49d20415b5 100644
--- a/packages/docs-gesture-handler/docs/components/wrapped-components.mdx
+++ b/packages/docs-gesture-handler/docs/components/wrapped-components.mdx
@@ -7,6 +7,8 @@ sidebar_position: 5
 
 Some components come with a [`Native`](/docs/gestures/use-native-gesture) gesture pre-applied. This allows them to participate in the gesture recognition process. Have a look at the example below.
 
+The callbacks of the pre-applied gesture always run on the JS thread. The Reanimated-specific configuration ([`disableReanimated`](/docs/fundamentals/reanimated-interactions#disablereanimated), [`runOnJS`](/docs/fundamentals/reanimated-interactions#runonjs)) is not available on these components.
+
 ```tsx
 import { useState } from 'react';
 import { Switch } from 'react-native';
diff --git a/packages/react-native-gesture-handler/src/__tests__/api_v3.test.tsx b/packages/react-native-gesture-handler/src/__tests__/api_v3.test.tsx
index 14e83c7750..508b2fc194 100644
--- a/packages/react-native-gesture-handler/src/__tests__/api_v3.test.tsx
+++ b/packages/react-native-gesture-handler/src/__tests__/api_v3.test.tsx
@@ -267,6 +267,40 @@ describe('[API v3] Components', () => {
     expect(pressFn).toHaveBeenCalledTimes(1);
   });
 
+  // BaseButton adds plain JS callbacks of its own, so a worklet passed by the
+  // user must not move the gesture to the Reanimated detector (#4628).
+  test('Rect Button with a worklet callback stays on the JS thread', () => {
+    const pressFn = jest.fn();
+    const onTouchesDown = Object.assign(jest.fn(), { __workletHash: 1 });
+
+    render(
+      <GestureHandlerRootView>
+        <RectButton
+          testID="btn"
+          // @ts-expect-error Reanimated config is not part of the wrapper props.
+          disableReanimated={false}
+          onTouchesDown={onTouchesDown}
+          onPress={pressFn}
+        />
+      </GestureHandlerRootView>
+    );
+
+    const nativeGesture = getByGestureTestId('btn');
+
+    expect(nativeGesture.config.shouldUseReanimatedDetector).toBe(false);
+    expect(nativeGesture.config.disableReanimated).toBe(true);
+
+    act(() => {
+      fireGestureHandler(nativeGesture, [
+        { oldState: State.UNDETERMINED, state: State.BEGAN },
+        { oldState: State.BEGAN, state: State.ACTIVE },
+        { oldState: State.ACTIVE, state: State.END },
+      ]);
+    });
+
+    expect(pressFn).toHaveBeenCalledTimes(1);
+  });
+
   describe('ScrollView', () => {
     test('handles responder event passed through Pressable for keyboardShouldPersistTaps handled', async () => {
       const { UNSAFE_getAllByType } = render(
diff --git a/packages/react-native-gesture-handler/src/v3/createNativeWrapper.tsx b/packages/react-native-gesture-handler/src/v3/createNativeWrapper.tsx
index 75147f834d..60ba4641be 100644
--- a/packages/react-native-gesture-handler/src/v3/createNativeWrapper.tsx
+++ b/packages/react-native-gesture-handler/src/v3/createNativeWrapper.tsx
@@ -4,6 +4,7 @@ import { GestureDetectorType, InterceptingGestureDetector } from './detectors';
 import { NativeDetector } from './detectors/NativeDetector';
 import { VirtualDetector } from './detectors/VirtualDetector/VirtualDetector';
 import { useNativeGesture } from './hooks/gestures';
+import type { NativeGestureConfig } from './hooks/gestures/native/NativeTypes';
 import { NativeWrapperProps } from './hooks/utils';
 import type {
   NativeWrapperProperties,
@@ -36,7 +37,7 @@ export default function createNativeWrapper<TRef = unknown, TProps = unknown>(
         return res;
       },
       {
-        gestureHandlerProps: { ...config }, // Watch out not to modify config
+        gestureHandlerProps: { ...config } as NativeGestureConfig, // Watch out not to modify config
         childProps: {
           enabled: props.enabled,
           hitSlop: props.hitSlop,
@@ -45,9 +46,10 @@ export default function createNativeWrapper<TRef = unknown, TProps = unknown>(
       }
     );
 
-    if (gestureHandlerProps.disableReanimated === undefined) {
-      gestureHandlerProps.disableReanimated = true;
-    }
+    // Components built on top of the wrapper (e.g. BaseButton) add plain JS
+    // callbacks of their own, so the gesture must never use the Reanimated
+    // detector, whatever the caller passed.
+    gestureHandlerProps.disableReanimated = true;
 
     const native = useNativeGesture(gestureHandlerProps);
 
diff --git a/packages/react-native-gesture-handler/src/v3/hooks/utils/propsWhiteList.ts b/packages/react-native-gesture-handler/src/v3/hooks/utils/propsWhiteList.ts
index 8ce7c62e56..ad3c07a131 100644
--- a/packages/react-native-gesture-handler/src/v3/hooks/utils/propsWhiteList.ts
+++ b/packages/react-native-gesture-handler/src/v3/hooks/utils/propsWhiteList.ts
@@ -113,12 +113,15 @@ export const PropsWhiteLists = new Map<
 
 export const EMPTY_WHITE_LIST = new Set<string>();
 
+// `disableReanimated` and `runOnJS` are not wrapper props, but route them to
+// the gesture (where the wrapper overrides them) instead of the wrapped view.
 export const NativeWrapperProps = new Set<
-  keyof NativeWrapperProperties<unknown>
+  keyof NativeWrapperProperties<unknown> | 'disableReanimated' | 'runOnJS'
 >([
   ...CommonConfig,
   ...HandlerCallbacks,
   ...NativeHandlerNativeProperties,
   ...ExternalRelationsConfig,
   'disableReanimated',
+  'runOnJS',
 ]);
diff --git a/packages/react-native-gesture-handler/src/v3/types/NativeWrapperType.ts b/packages/react-native-gesture-handler/src/v3/types/NativeWrapperType.ts
index db30a78c32..e87cd0b9a3 100644
--- a/packages/react-native-gesture-handler/src/v3/types/NativeWrapperType.ts
+++ b/packages/react-native-gesture-handler/src/v3/types/NativeWrapperType.ts
@@ -16,7 +16,12 @@ export type WrapperSpecificProperties<T = unknown> = {
   ) => void;
 };
 
-export type NativeWrapperProperties<T = unknown> = CommonGestureConfig &
+// Wrapped components always run their callbacks on the JS thread, so the
+// Reanimated-only config has no effect on them.
+export type NativeWrapperProperties<T = unknown> = Omit<
+  CommonGestureConfig,
+  'disableReanimated' | 'runOnJS'
+> &
   GestureCallbacks<NativeHandlerData> &
   NativeGestureNativeProperties &
   ExternalRelations &