Obama cares more what right-wingers like O'Reilly think of him than what liberals of him.
Of course. His appearance has nothing to do with taking the opportunity to get his message across to the largest possible audience by a mile.
He's the President. He can go on all the networks whenever he wants.
True - sorta. But even if he commandeered all networks, cable and broadcast, no President would get half the audience he would for a Super Bowl interview. It is by far the most watched show on TV every year, with about 100,000,000 viewers.