You don't need to have attended the school you root for to be a true fan. When I was a kid, I used to sit in the truck with my Dad and listen to the games on the radio. Sometimes my Uncle and he would get together for TV games. Alabama football is very nostalgic for me, so I'll always be a real fan, not a fair-weather one.
I graduated from Middle Tennessee and I support their athletic program. When they play Bama, I wear blue. My Dad doesn't particularly care for it, but he's proud I have a degree so he let's it slide.
As for Saban, you never tell your current employer that you are looking at another job. If my boss asked me right now if I'm staying with this company, I would say yes. Saying no might mean I get fired. In reality, I've applied for another position recently and I'm just waiting for an interview. Saban did nothing wrong, he waited for the season to end and he left.