GWB would never pull a stunt like this. He knows that all the extra security, the Secret Service preps, etc. would create a huge hassle for the fans attending the game, causing lots of delays and ill will that the media would be only too happy to pick up and run with as THE story of the event. He would just decide to skip going to a game, and not make a big deal out of it.
For him it wouldn't be a stunt. He doesn't do stunts.