I think the core concept works great and is very compelling. The lack of sound/music being a problem is obvious, but I also had some difficulty with the controls. It feels simultaneously like a puzzle platformer and a Super Meat Boy fail-and-try-again speedrun game, which I think can work but as it currently is it lacks the Super Meat Boy level of precision in control. Since the game is partially about the difficulty of landing precise wall jumps and throws but the controls make those movements difficult to land, it can feel like the intense platforming is getting in the way of solving the puzzle rather than adding to the overall challenge.
Still, this is a really solid concept and kept me going for a fair few levels, only stopping when I reached one of the bird stages and the bird kept glitching into non-existence every time I tried to fly upwards. Overall though, this is a great foundation!