Seems a lot like the issue reported on this thread for Knight's Path.
Did you export the project with OpenGL 3 or OpenGL 2? The issue might be that Safari doesn't support WebGL 2, or is having issues with Godot and WebGL 2. Exporting to OpenGL 2 might work, since it uses WebGL 1, which has better browser support. Looking online, it appears Safari does not have WebGL 2 support by default, and when enabled it fails the majority of test cases.
I would try exporting the project using OpenGL 2 and see if that fixes the issue.
( @Aeternuxolus - Did changing to OpenGL 2 fix the issue with the web build of Knight's Path? )