ZDoom

fixed

Not that I know of, you must be thinking of something else (when I think of that I think of Half-Life, if that helps)

doesn't ZDoom have a cvar for that? Maybe I'm thinking of another port.

A is not possible.
C doesn't make sense.
D sounds problematic

which leaves B. It's 'Don't do that!' anyway. You can't remove a player object. Without it the game can't run anymore.

While trying to figure out a way to remove player corpses from the map
via ACS, I found this glitch. I though about putting thing_remove in a
death script and figured that it would only remove the player's sprite and
not affect anything else. Wrong. It crashes immediately after hitting that
part of the script. Figures

When thing_remove is used on a player it could...
A. Remove only the sprite (if dead)
B. Do nothing (if still alive)
C. Kill the Player (if still alive)
D. Force player to respawn (if dead)

Any of these would be better than the fatal error box