My understanding is that the additional teams added to the league increase the TV contact pro rata but the distribution is withheld for the newcomers and the current programs take home a higher share.
In this sense, the networks (supposedly) have said UConn would be considered for a pro rata increase to the Big 12 tv deal but there's no chance wed receive a full distribution initially.
My understanding is the prorated increase is only for P5 teams, or for select G5 teams that the broadcast partners agree will be treated as if they were T5 teams for the purposes of expansion under the existing contract.
Yormark has said that Connecticut has been approved by the broadcast partners to get a full pro rata share. That was not the case for the "discount rack four" that came in from the American.
That said, you are absolutely correct that the fact that the broadcast partners are paying a full share doesn't mean that we will automatically get a full share from the Conference upon joining. Reading the tea leaves about all that's been said, I believe that we will. If anything the CFP money may be delayed or foregone in the near term.
Keep in mind that the AAC four came in with two years to go until the new contract begins in 2025. They are getting partial shares only during that period. Once the new contract comes in they will be entitled to full shares. While I don't know this for certain, it wouldn't surprise me if Connecticut were to start in 2025. I don't know what the Big East exit provisions require for notice, but I would be surprised if we were playing in the big 12 next year.