I like the "dying to progress" idea. I feel like you could do a lot with that if you choose to expand on this. A fun, short game.
I'm not sure what the intended solution to the third level was. I ended up falling to the bottom floor and mashing space against the rightmost wall to "wall jump" up and get the last pill. I wasn't sure if that was one of the intentional "loop holes" that you mentioned or if there was another solution.
Nice job on your first jam submission!