I definitely hear the strong roots of Texas style blues in his playing. Most people know him for his work with SRV. And in Double Trouble he was a kind of anchor player, which allowed Stevie to do his thing with a good base of harmonic and rhythmic support. And you should also take into account that he's kind of a veteran player - he came up playing with Johnny Winter before he ever played with Stevie Ray Vaughn. Someone like Dusty Hill is a contemporary of Tommy's, and I hear similarities between Tommy and Dusty's playing on the early ZZ Top records. I also hear those roots of boogie woogie, Chicago blues and early rock & roll (Jerry Lee Lewis comes to mind) in his style.
As for the players he cited in that article? I think he definitely had an appreciation for those players. And I would say that the Willie Weeks thing is spot on, but with the caveat that when Willie is playing that style (like when he's playing with Eric Clapton) I get where Tommy is coming from. But it's situational, because I've heard Willie go pretty out there with some of his gigs and recordings.