probably nobody cares at any other college in the state.
I would add that we are rivals with those two schools - especially Utah, but also Utah State to a lesser extent - so I don't fault their fans for having some negative feelings towards BYU. I would guess that there would be some negative feelings among BYU fans if somebody was strolling around the BYU campus in a Utah sweatshirt. Nothing wrong with that, as long as nobody is stupid about it.