Neat idea, and very cool presentation. I have two grievances though that troubled my experience: the wall jump is very finicky, I could get up the walls in the level introducing it, and I can't imagine why you made the platforms' edges slanted, it is very frustrating for me to miss a jump because of that (the level introducing slopes, on the second screenshot, is the perfect example of that.)
It was still very fun to play, and I think the mechanic is really cool, it doesn't feel gimmicky. Well done!