That would be insane 😁 What about having 2 kings from the start, how would that affect the game to protect both of them? And then you could go for the double checkmate achievement!
So in your variation would there be only one opportunity to promote to king or many? And would the first king stay on the board or is this a case of teleportation of the king to the body of the pawn as an escape tactic? 😁