Not always...
IIRC, the Peach Bowl games against Clemson and Georgia Tech in the 90s / early 2000s were something like 14-10 and 28-10, with LSU being down at the half for both.
The one against Miami and this one are fucking insane, though, as the combined total of the last 6 quarters for LSU in the Peach Bowl is around 78-6.