I could be wrong, but it seems like John Calapari was always a good recruiter, but after he got Derek Rose his recruiting sky rocketed. Getting Kennedy Chandler has gotten a lot of media attention and tweets from NBA players about him. Barnes already has the reputation of developing point guards and Bronny James is a good, but not great point guard. It makes sense that he would be interested in UT.
There is a lot about Lebron James that fits in with what UT wants in its players, but there are things that don't. Bronny is not Lebron. Barnes wouldn't be looking at Bronny just because of who his dad is. If Barnes thinks he fits in and can help UT, then I'm for it. Barnes has yet to give me a reason to not trust his judgement.
The only down side is if he turns out to be a bust, Lebron will blame UT instead of his son.