Actually, it's not a sign of anything with regards to the Lady Vols program or influence. No top recruit is going to sign on the following year behind another top player at the same position, especially pure point guards. When Sims was at Baylor, no other pure point guard near her class year was going to go there. When Ariel came to TN, no other pure point guard was going to follow her the next year. When Diggins went to ND, no other elite point guard was going to follow her. Pure point guards are like quarterbacks. They will scratch teams from consideration if that team lands another top player prior to them that's close in age (class).
If TN had not signed Cooper and was not so guard heavy, then you might be on to something, but that's not the case. These young ladies all know each other well and they all watch to see where the other one lands. Now, this doesn't mean she would not have chosen UConn regardless of the situation. She seems like she's always wanted to play for UConn or at least had them very high on her list. I just think it's ridiculous to try to draw some conclusion based on one recruit that the Lady Vol influence is diminishing. For the record, there are many people throughout the state of Tennessee that do not UT. This is also true in all states that there are some that simply don't like their state schools.
One last thing. Tennessee is very divided. West TN, Middle TN, and East TN are the divides with Knoxville being East, Nashville being middle, and Memphis being west. They don't even have the same news coverage. West TN residents have a strong allegiance with the University of Memphis and many do not like UT. Middle TN residents tend to have a stronger allegiance with MTSU, Vandy, and the other Nashville area colleges and many do not like UT. East TN residents are pretty much all in for UT. Unless you live in the state of TN, you will not understand the divide, but it definitely exists.