I think it's a cool concept; we are so used to 'normal' platformer controls, that I'd say this is a fresh idea. Reminds me a bit of Cave Story where you can use a machinegun to actually fly. Only this time the speed makes it insanely though to control; Level 3 got brutally hard early on (I thought I could at least destroy those turrets) and at level 4 I just gave up at the most narrow spike segments.
The music has some sort of odd "peaceful classical/christmas vibe" (atleast that's what I got) that didn't seem really fitting or encouraging for the game.
Of course this is a Ludum Dare proyect; and the priority here is experimentation, which after all led to an interesting result!