Problem is, each team might pick a different rivalry they want to keep. Florida might want to keep the Tennessee game as scheduled. We might want to keep the Third Saturday, and Bama might want to keep the Iron Bowl as the last weekend - as would Auburn. But then Georgia will argue for the Cocktail Party date to stay, or maybe their Auburn game...
It could be a mess deciding which to keep and which to change simply because this conference has so much tradition and history.
I think the only games both schools would adamantly agree to keep on the same date is the Iron Bowl and Egg Bowl.