This...almost has elements of Persona to it, which is fascinating. I could see a number of conceptual variants that could be used here.
I think your game is deceptively simple, but has incredible depth to it as well. Someone else mentioned it, but the rules for exploration of each level is so sparse that I'm unsure of how to deal with that at all. I think it's the games biggest impediment.
In a way, that makes your game seem a bit more like a cloak that you'd place on another game. Which I could certainly see happening. There are a few other one-pagers I've looked at that you could wrap your idea around easily and create an entirely new experience rooted in both ideas- a good bit of possible creative alchemy.
That said, that may not be your intention, so a sample playthrough might help new players visualize potential experiences.