No, Texas fans don't care about the 'Horns Down' taunts anyway (msn.com)
"Ask almost any Texas fan about 'Horns Down' and they'll laugh off the gesture just as they laugh off allegedly 'rivalries' with the likes of Texas Tech and West Virginia. Are those programs 'annoying'? Sure, a bit like a gnat is annoying to a horse. Neither raises to level of a genuine horse fly, let alone a braying donkey or another horse entering the paddock."