And FYI...the Speaker has to be VOTED in, by the members of the HOUSE!
Add to the above, just WHY would Chuckles EVER give up being the SENIOR SENATOR FROM N.Y.and his senior positions on all of the Senate committees he's on, to get DEMOTED to the House? Simple answer...HELL WOULD FREEZE OVER, TRUMP WOULD BE MADE KING OF THE USA, WITH COMPLETE POWER, before what you suggest would happen.