The staff at the Boston Phoenix sure seems to think so. They chose San Antonio's own all-ladyfied power trio as top "new" act in the Lone Star State in their annual Independents Day: Best New Bands in America feature. According to the article, GIAC answers the question, “What would it sound like if Lush caroused with Patsy Cline in a West Texas saloon?”
The Phoenix's taste in Texas music (not to mention their knowledge of state geography) is up for debate — they chose the 13th Floor Elevators and Roy Orbison as Texas' best acts ever — but their choice in last year's poll was kick ass ATX band White Denim, so they obviously know something.
Suck it Austin. Suck it dry.