Nebraska has had its hands full with the #4 team in the SEC the past four bowl games, and looked outclassed in three of them.
Not to nit-pick but I guess I'm going to nit-pick. I'm not sure it's exactly how you explained it.
2013 - Beat Georgia
2012 - Georgia lost the SEC Championship game by four points to eventual national champion Alabama. They had first and goal on the last play of the game. We were ahead of Georgia mid-way through the third and tied entering the fourth.
2011 - We were ahead of South Carolina seconds before halftime and were down 16-13 entering the fourth.
The final scores of the last two games weren't as close but I don't think playing toe-to-toe with a team for three quarters is being "outclassed".
The year before that, we didn't play an SEC team, btw.