Well, Arkansas sees LSU as their BIG rival. That's their one team. Just like Mich-OSU. So, yes they have a "worse" loss But they also have better wins...and better wins RECENTLY. The loss was WAY early in the season.
If you are looking at Auburn, besides Alabama, who have they beat this year that was a really good football team. I'm guessing that you will bring up Texas A&M, and they are good, but not elite this year. The only other ranked teams that they have beat are Georgia and Ole Miss(was ranked at that time) and those teams aren't that good this year. Auburn has had one really good win, Alabama. I'm not taking anything away from that win, but it's hard to say that they are that much better than Ohio State because, IMO, Auburn hasn't had an impossible schedule this year either.