The problem with these attempts always seems to be that you can see in dimensions 1-3, but never in dimension 4, so any movement or exploration along that axis is always just blind fumbling. The extra dimension is not equivalent to the others
The only answer would seem to be an extra axis of rotation, but (a) doesnt work well with existing input methods, and (b) would be even more of a brain-breaker
I think you could approximate a 4d projection onto a 3d display, much like we approximate a 3d projection onto a 2d display. So perhaps one could enjoy a fun and intuitive game of 4d doom if you have an appropriately fancy volumetric display. Pity they're so rare/expensive.
Feels like in 3D you can move continuously and build intuition.
But in 4D there isn’t really an equivalent control, so it ends up feeling more like toggling something you don’t fully understand.