Both Texas and LSU (in post 2000 memory) can be viewed as 2nd banana teams. They've had really strong periods, and even won meaningful hardware, but have largely been in the shadow of another program nearby.
Texas has had the more precipitous drop. Rather than falling behind one main rival, it fell off its perch to struggle with less historically strong programs. The Longhorns have worked hard and done the right things. Improvement can be seen on the field and in the record book. After UGA, Texas asserted that it was "back". Being "back" can only be borne out over time. This game is an opportunity to solidify "back".
That's the ethereal part. The nuts and bolts of the current situation, as I see it, are thus:
1) The Texas offense against the LSU defense. The Tiger defense is for real! They have playmakers at every position. Whatever the Texas offense thinks they've achieved in the offseason vis a vis OL play and more fully developed receivers will need to prove itself Saturday. Even typing the words "ball security" seems like a betrayal of Sam's mindset, but it sums up a lot. Yards and points will be earned. We'll see if the improvement is real.
2) The LSU offense against the Texas defense. In years' past, I wouldn't expect the Tigers to generate much. They typically had no real identity, and just generally defaulted to a state of running straight ahead for a while. That works when your opponent is out-athleted, but not when the talent is equal. This year, though, LSU thinks they've become a "spread" team. In the SEC, this will serve them well, ultimately. In this game, though, it can only hurt.
LSU is learning how to play a style of offense that Texas has had to defend every week in conference play for the last 10 years. They've devoted their recruiting and development efforts to stopping the best spread teams in college football. Perhaps the Tigers will succeed despite this. Playing Todd Orlando's defense in Austin, TX is no place to be learning the spread offense, though.
Also, during warmups and the 1st quarter, it should be around 120 degrees on the visitor sideline. The Texas sideline should only be a shade cooled 105.