If you are a non P5 school and are discussing membership, things like clinging to rebroadcast rights and requesting guarantees for appearances on TV go over like a lead balloon, especially when it is already known that the conference would need to work around your refusal to play on Sunday.
(Was in OK papers as well, but can only find the one sltrib article from the time:
http://www.sltrib.com/sltrib/cougars/52718156-88/byu-television-conference-football.html.csp )