It would change the game toooo much. Extra pieces would become much more important than they are now. You'd just see players fighting for a pawn (good bye gambits!) advantage and then just trying to trade off everything. Do you want that?
P.S. I'm all up for a variant without stalemate, but I definitely would keep this in the main rules
No, Monster wants us to stop being part of the herd, and make up our own minds to unconditionally accept everything he says as the one and only truth.
Under the current rules, these positions are wins if White possesses basic skills. Under the proposed rules, skill is no longer a necessary component.