his trademark nonsense may be just to protect himself more than promote himself. It's my guess that he trademarks anything that might become a thing so others can't profit off of his name without his consent.
As far as how he'll do in TB? I think he's going to have a good year. I'm not a Winston fan at all but whatever advantage he has in youth and strength is lost on bad decisions. Averaging 2 turnovers a game for a whole season is just bad. TB will make that a non issue. His season will be MUCH more efficient so the cumulative numbers won't compare to Winston's '19 season but that will mainly be because the Buc's won't be in a constant state of having to come back from the QB's mistakes. Buccaneers are set up for success though. Arians is a damn good coach and this will be his best all-around team in '20.
As much as I hate to say it, TB and the Bucs will be good.