That is the cleverest goddamn shit I've seen all week.
No.
All month.
This is the sort of weird I was hoping to see, and I love it. It kills me a little that the absolute coolest part of this game isn't the part that addresses the prompt. I almost wish you had done some bullshit half-answer like "It's a platformer without a stationary screen."
As some other have mentioned, the controls were a little hard to grasp at first, but that's less a problem of the controls themselves and more a matter of better tutorialization; once I wrapped my head around them, I found them well made overall. Do I think you addressed the prompt? Eh. Do I think you made something wicked cool? Fuck yes. This is one case where the latter trumps the former, for me.