I wasnt sure what a mobius loop was at the beginning but at the last level my head understood it, and such a cool idea!
Would have like a level where you had to loop and only go right up to 3 times (so i would recognize I'm moving in a loop). Think that would have helped me to understand it faster. You could hide the goal in 3 locks and create walls to stop you moving backwards that openes the next switch behind you ( Hope it make sense, or maybe i'm all off here )
The first levels I only played with the switches until i could se a way to the goal. I dont think i fully understood the text you wrote when I think back. I just ran ahead and flipped the switch and went into the goal.