No, but they aren't going from a terrible team to beating a P5 or even hanging with a P5 overnight. Southern is not a good football team, not even in G5 and not even in FCS and not even in comparison to just HBCU's. They are just not that good. LSU will beat them by 50 this weekend and believe me I would love to be wrong, but it aint happening. You can not compare the talent LSU has all over the field to the talent that Southern has.
Let's just take arguably LSU's worst position player (QB), LSU looked awful against FSU at the QB position. The kid that is starting for LSU (Jayden Daniels) was a 4 star QB out of HS rated as a 97 out of 100, while the starter at Southern (Besean McCray) was a 2 Star QB out of HS rated as a 75 out of 100. McCray is a 6'0" 180 lb QB, Daniels is a 6'3 200 lb QB. That is the closest at almost any position a Southern player will compare to an LSU player.
If this game is within 50 points, I will be surprised.