I was mostly thinking about players who download it and play later without the game page open. It is a very fun concept that I would love to see as a full-length game.
Ah yes. I'm very likely expanding this and thinking about making it a puzzle platformer. Each level would have a few "sublevels" that you change between (like the current switching level mechanic). I would then make the switching of sublevels into an action in the game and not in the UI.