Athletics departments

I was talking with a PE teacher this morning about school closures (he says: closed in Dane County, not in the surrounding ones). He wondered about the sports teams: if one player tests positive (even if not sick), that player is out for 2 weeks, which can put a crimp in your lineup, and maybe take out others. He worried that departments would have a perverse incentive to not test players, or fudge the testing.