Bad idea. Might as well kill the gimmick now...
Yeah, really. I was wondering what the hell happens. Ignore the playoffs, but what happens there? He wins every game? But next year... We go back to Teddy losing every game, except come playoff time? Nonsense.
I say you let Teddy win every home playoff, then retire him. Do a JFK, FDR wheelchair race, some other president. Come next April, the Teddy factor will be pointless, stupid, contrived and a growing point of contention for a small subset of the crowd.