I noticed the Godot 4 docs on HTML5 export said the following:
Attention
Godot 4's HTML5 exports currently cannot run on macOS and iOS due to upstream bugs with SharedArrayBuffer and WebGL 2.0. We recommend using macOS and iOS native export functionality instead, as it will also result in better performance.
Godot 3's HTML5 exports are more compatible with various browsers in general, especially when using the GLES2 rendering backend (which only requires WebGL 1.0).
So I haven't done much with Godot 4 and have been sticking with 3.5 for now. But if you've uploaded a Godot 4 game, could you confirm if it runs well in macOS and iOS, or if you don't have Apple devices then could you post a link to the game so someone else here who does have Apple could test it out and see what happens (I didn't see any games from your profile page)? I could prolly scrounge up the iPad I used to test stuff out for the mobile game jam.