If you stay on the rocket, you'll fall to the floor, but you'll be okay because the rocket serves as a platform. Perhaps you could punish the player for staying on the rocket by sending some presses down to put Quote out of his Misery.
If you don't make it to one of the platforms in time before a press lands on it, but manage not to get crushed, then you're kind of stuck here, and have to reset the game to get out. Since basically it's a failed attempt if you miss a jump before a press gets there, parhaps you could also make the floor disappear after a certain period of time, so that if you miss a jump, you fall to your death instead of getting stuck. In fact, if you want to be really clever, you could potentially design this so that the floor disappears and sends presses down in a way such that, if you're up there jumping around, you fall to your death if you make a mistake, and if you're waiting down below, then the presses come down and kill you. I think that would be a cool way of "break-proofing" this mod.