[Playing games with no fans is a very plausible scenario.]
Not really. If a campus is open and with students roaming around it, then it will be deemed safe for fans to attend a game as these students will also be considered "fans". Thus, common sense is not all that common.
It'll be easier to social distance pretty much anywhere on campus than it will be inside sports stadiums/arenas. Having students on campus is an entirely different deal from having large scale sporting on campus. Many college football teams typically pack more people into a football stadium on Saturday than they have on the entirety of campus at any other time of the week.
Professor Chaos is a proud supporter of the 8-time NCAA Division 1 Football National Champion North Dakota State Bison.