I do not think it a good idea either. I am playing a Standard Campaign and I have to win 40 battles before I researched "the Universal Serum" (quite middle in the mid-game, huh?). A Standard Campaign only allows 40 dead civs, and I believe I lost more than 1 civ per battle====>means that I should have lost the game if the dead civ count was implemented.
Instead of making it a short stop, I would recommend to put it in the formula of "Nation Happiness", on the assumption that govs are suppose to protect its citizens. If you let too many of a nation's citizens die, the gov will get angrier with you.