I don't follow sports too much any more but when I did it was a toss-up between the Cowboys and the Fighting Irish.
I grew up in Northern California in a household that only had OTA broadcast television via rooftop antenna. That meant we got 4 NFL games per week: An AFC game, an NFC game, a "national" game, and Monday Night Football. Two of those games were local games, the 49'ers and the Raiders. This was back when the Raiders were blacked out locally every week, so in reality we only got 3 games half the time (we did get the Raiders away games). Of those 3 games one was always the 49'ers. Of the two remaining games one was always the Cowboys. They were the Monday night game a couple of times per year. They were the Sunday "national" game many times per year. And any week in which the 49'ers were the Monday night or "national" game meant we were getting the Cowboys as the NFC game. As a NoCal kid it was infuriating to get 16 49'ers games, 8 Raiders games and 14-15 Cowboys games per year. I didn't have a favorite team, wasn't really a 49'ers fan and definitely not a Raiders fan, but I got the logic of why we were getting those games. I just wanted to watch teams I didn't see often, not the Cowboys week in and week out, especially during the years in which they STUNK. There were some years where playoff teams might be exposed to me for the first time in the playoffs because the TV scheduling was so bad.
Similar for the Fighting Irish. EVERY Saturday they were on NBC. Hated it and how the exposure got them into the National Championship talk when they didn't deserve it. They'd play an "independent" schedule full of nobodies but get votes in the polls because of popularity/exposure.