This is an interesting concept. I wonder if giving free access to both cheese colors whenever you want gives you a little too much freedom of manipulation. I think I’d need a few more levels to tell.

I didn’t care too much for the last level, as I was mostly just aimlessly moving boxes around and hoping I don’t get stuck without any real a-ha moments, but otherwise level design was pretty solid. Also, using the layout of the original sokoban was a nice touch.