I would see that as a personal problem for that player, and not something the game designers need to change the system to avoid.I'm pretty sure people did. I was running (briefly) a 2e game back in college and inflicted blindness on a PC. The player immediately tried to have her character commit suicide. No attempt to fix the blindness or even see if it was permanent or not. Just "my character is blind, therefore she's useless, therefore she must die." It really wrecked the entire game.
I honestly can't remember anything else from that game, since it lasted for such a short time so long ago, but that bit always stuck with me.