There would need to be an upper limit (And/or a setting in the menu to limit to a specific number) of corpses on the field at once, or you'll be running into performance issues later in the game (Especially as dead units are ragdolls).
Given how many units actually die through a game of CoH, you're going to be looking at some obscenely cluttered battlefields. I think it's a nice idea in theory, but in practice it wouldnt look very good.
I would like if units "vanished" in a less gamey fashion than presently though. Perhaps something similar to the way For Honor handles minion corpses, where they "dissolve" into a more muted static model after a moment. They blend into the ground much better this way.
put a limit yes i agree but at the moment all bodys disappear and it's stupid