Makes sense from an LSU perspective. They will have to pay their OOC opponent either way. Why pay south Alabama and not make any revenue for LSU and Baton Rouge playing in Gainesville instead, or pay south Alabama and make your money back plus some with their home game. It's most likely not like LSU will need that SEC game to clinch the division.
How did ESPN confirm this?
As per the SEC website and rulebook, the following determines the divisional winners of the SEC:
"The participants of the game are determined each year during the eight-game regular-season conference schedule as the teams with the best overall SEC winning percentage in each division."