I threw 2007 out there as a definite "perhaps," but I wouldn't be so quick to write off 2012. After the SECCG loss Georgia was ranked #6, but remember this is also in the pre-CFP era where the rankings 3-4 had no bearing on a bowl game. Also don't forget the 3rd ranked team, Ohio St, was ineligible. So effectively Georgia was ranked 5th.
The two postseason eligible teams ahead of Georgia were Oregon and Florida. Florida's only loss was to Georgia, and Georgia only had a 2nd loss by virtue of getting to play in an extra game, and it was to the #2 team in the country. Oregon had 1 loss to a Stanford team ranked #8 at the time, so they probably wouldn't have jumped them, but I absolutely could see them staying ranked ahead of Florida.
If the CFP existed, I could see the rankings having gone 1 Notre Dame, 2 Alabama, 3 Oregon, 4 Georgia. That would have avoided a Alabama/Georgia rematch in the semifinal, but left open the possibility for it in the final. People likely would have raised hell - Georgia's other loss was a 28 point beatdown to South Carolina, but it was on the road to a South Carolina team ranked #6 at the time and they finished the season #8 in the country.