Right, but you don't see Pac-12 fans cheering for other Pac-12 teams out of conference loyalty, or in the Big-10, or the Big-12. In fact, you don't see conference loyalty or solidarity in any other conference or division anywhere, in any sport, in any country, in any era where mankind has played sports, ever.
It's a distinction you'll only find with SEC football fans, and the rest of the world thinks it's weird and silly.
There's a heck of a lot about the South that the rest of the world think is weird and silly.
Most Southerners don't give a damn what the rest of the world thinks.