I don't see how that the games affect the shows.
If the games are doing well, it's good for the shows through content, guests and overall excitement/interest in that team, I would imagine.
I agree that the performance of the teams affects overall interest in sports radio, but why one show over the other? I think the shows rise and fall on their own merit/shortcomings. Total listenership may go up or down, depending on which station is broadcasting the games in season, but most football games are on weekends or nights and the other three sports are primarily at night. The games themselves shouldn't affect the shows from 6:00 AM to 6:00PM.