Really interesting concept. I really like the idea of a puzzle game where the player can control the level with buttons. The player controller was also nice to control, it was a little floaty but I think that's perfectly fine for a puzzle platformer game.
A couple suggestions, I think the difficulty curve is a little steep. The difference in difficulty between the first and second level is a little big. There were also a couple things level design wise that could be touched up on. For example in level two there is a blind jump near the beginning which is never fun.
Overall great game, I had a lot of fun playing it!