This is really nice. There was a similar idea some time ago where you instead came back to the first room whenever you chose the wrong path. The advantage with that option is it becomes very clear that you need to proceed in a certain order. Your method is more maze-like, but might also be more frustrating to players. Especially since the optimal solution is walking through the wrong door in room 1, and the correct one after that. So perhaps the maze would benefit from having the room sequence signalled in some way (like a map that says you need to pass by the copper guardians, then the chasm, then the den of Minos, then…) to make it easier to realize when you are moving backwards.
That said, I really like the idea and will definitely try it.