Three.js: GLTFLoader ImageBitmapLoader overrides loaders for types it can't handle

Description of the problem

Due to the recently added usage of BitmapLoader in GLFTLoader (https://github.com/mrdoob/three.js/pull/19518), using handlers for specific file formats will be overwritten from the BitmapLoader.

In r117 to support basis textures for gltf files you would just need to add

var basisLoader = new BasisTextureLoader();
basisLoader.setTranscoderPath( 'js/libs/basis/' );
basisLoader.detectSupport( renderer );
THREE.DefaultLoadingManager.addHandler( /\.basis$/, basisLoader );

This is not possible anymore, since the resolve will be overwritten here: https://github.com/mrdoob/three.js/blob/7df06a0e4054247f87a7b5aa555ca97cd6b15662/examples/jsm/loaders/GLTFLoader.js#L2077-L2093

I'm getting the following error:

THREE.WebGLState: TypeError: Failed to execute 'texImage2D' on 'WebGL2RenderingContext': No function was found that matched the signature provided.
    at Object.texImage2D (three.module.js:21828)
    at uploadTexture (three.module.js:22749)
    at setTexture2D (three.module.js:22274)
    at WebGLTextures.safeSetTexture2D (three.module.js:23169)
    at SingleUniform.setValueT1 [as setValue] (three.module.js:17755)
    at Function.WebGLUniforms.upload (three.module.js:18260)
    at setProgram (three.module.js:26406)
    at WebGLRenderer.renderBufferDirect (three.module.js:25441)
    at renderObject (three.module.js:25994)
    at renderObjects (three.module.js:25966)

• demo
• code

Three.js version

• [x] Dev
• [x] r118
• [ ] r117

Browser

• [ ] All of them
• [x] Chrome
• [ ] Firefox
• [ ] Edge

OS

• [x] All of them
• [ ] Windows
• [ ] macOS
• [ ] Linux
• [ ] Android
• [ ] iOS

Hardware Requirements (graphics card, VR Device, ...)