It would be a catastrophic PR blunder to have all this chatter and no invite. Especially since it’s public that Mora is selling it to recruits
I don't think it would be a PR blunder on UConn's part. I don't think the chatter is coming from them. UConn has been pretty quiet about things. It's out there, so they have to say something about it, if asked. I hope that is what Mora is doing; he and the coaches should not be talking about it or selling it.
What I think would be a PR blunder, and that would be on the Big 12's part, is if the Big 12 comes out after all of this and says that they have decided not to expand. Remember, that is what they did seven years ago (albeit under a different commissioner) after they had all of the schools, including UConn, put on a dog and pony show. If I recall, it was an in-person presentation, to boot.
Whether or not UConn gets invited is up to the Big 12, not UConn. But, no doubt, it would look bad for UConn to go through the process twice with the Big 12 and not get invited. It would certainly re-ignite criticism from fans who were against it to begin with. And maybe not just from them.