I sometimes have a hard time getting to the bathroom and back during halftime, much less clearing the stadium to get out to a tailgate where you would presumably want a few minutes to grab a snack and a couple cocktails before heading back in.
I think you would end up losing a lot of fans for the second half that way. If we were in the upper-crust of college football (Georgia, Ohio State, Michigan, Alabama, etc.), I think it would be fine, but I personally would have had a tough time heading back into JTS on Saturday, down 17-3 and you can double those odds for any number of reasons (bad/hot weather, obnoxious visiting fans, tired, wife is not feeling it, etc.).