I will have to think about that. I see your point and I kind of agree but I'm worried how that would effect gameplay. This might lead to game runs lasting a lot longer for the best players because a single mistake per level could no longer lead to death.
Perhaps it could regenerate health slightly at beginning of levels but only if it's below some (low) limit. And maybe this could only happen once per game or require some rare power-up.
Thanks for the feedback again!