Pretty sure that UF, UGA and USCe have always had a handshake agreement to never let in any other In-State schools. Why would they want to allow their chief rival to join the SEC and make more money. UF, UGA, and USCe have no incentive to help their in-state rivals. Giving Clemson, Miami, GT, or FSU access to the SEC only hurts UGA, UF, and USCe.
I could be wrong but I don't see anyway the SEC gives any rival teams of current members an invite.
If the roles were reversed and we were in a position to invite UGA to conference where they could be more competitive because they would be making more money, would you want that? I would say THWG let them wither. Hope they have to close up shop. I am sure UF, UGA, and USCe feel the exact same way about their rivals.