At UTMB, definitely. Last year I talked with the Associate Dean of Admissions about basic admissions stuff during an informal reception at my school. I asked her advice about making a personal statement more "personal" versus making it a listing of accomplishments. She stopped me mid sentence and asked "Okay, what did you get on your MCAT?"
I had not even asked the traditional "I have x.xx and a xx MCAT, will I get in?" She really was only concerned with MCAT scores. And considering that she later called herself the "gate keeper" of admissions, I'm guessing she likes to emphasize that in the screenings, too.
It's not the same way at every school, tho. Recently, I talked to a former AdCom member at Baylor University (they get their faculty to be on the committee) who actually made fun of Galveston, by name, for trying to be a "wannabe Southwestern."
According to him, Baylor considers itself superior to those kind of automatic screens because, as he put it, they have the resources to "look at the entirety of every application that comes in." Considering I know a resident who got into Baylor with a 23 MCAT (VERY RARE exception & NOT an URM!), I'm guess the adcom member was telling the truth.
So there is a game going on there, but most of it seems to be mind games among the Texas Adcoms.

Still, even Southwestern's been known to interview the sub-30 MCAT crew & look at reapplicants more closely (the sister of a friend of mine got accepted with her 3.2 because her interviewer liked that she knew ballroom dancing), and UTSA, Tech, TCOM, and A&M pride themselves in sorting out the dedicated/ non traditional students. I have not gotten a clear picture of UT Houston, but considering that there's an MD/PhD in my lab who likes to brag that he got into UT Houston's dual program with a 3.3, there's an indication that not everything is by the numbers there either.
There's just no guarantee, especially with the economy tanking right now and everyone wanting to stay in school. Good luck to everyone!