I agree that both Alabama and UGA are better than LSU, but the auburn vs LSU game is on the bayou and strange things happen down there. I have seen too many UGA and Alabama teams that should have won easily in JH leave with an L. Not saying it is going to happen, just that I would not bet on both of them beating auburn in JH.
When should Alabama have won easily and lost in J-H? Not once. Actually, Bama has played over their heads more than not: 1995, 1997, 2001, 2003 come to mind. IMO, only 2005 and 2017 have they played a poor game. They barely escaped in 2009 but that was the only really close call. They've only played them 14 times. AU was fortunate to play 6 of those 14 games while Bama had crippling sanctions.
Richt had a 5-3 record in J-H. I don't remember one upset, in fact, UGA probably upset AU a time or two. AU is 29-20 vs P5 teams in J-H since 2008, Bama is 41-4 in B-D.