I think Bama's Bowl win was much more important to the program than the Georgia or Auburn losses were detrimental to their programs... a Bama loss to TT would have made 3 straight losses to end the season. It could have given recruits (and people in general) the impression that the momentum the team had is gone and that the team simply played over their heads, got lucky, or whatever the first 9 games. A win to finish the season greatly lessened the impact of Auburn and LSU losses, and showed that the program still has very positive momentum. Plus, a top 10 finish and 10 wins after 2 down years gives a real impression that Bama is "back" to the observer.
Georgia and Auburn, on the other hand, both ended the season on a high note and both have played at a very high level for a couple of years now. Really, one loss doesn't tarnish either one all that much in my opinion due to their circumstances. To me, it has always seemed that the results of one game on anyone's, even recruits, perception of a program is very small... however, several straight losses or bad games can make people perceive a trend, which is much more significant in how the program is received.