Hard to imagine that anyone would claim as "facts" what you claim as "facts" based upon only one year, particularly when one considers the 20 plus years of conferences having conference championship games. Or are you intentionally ignoring the times when the team with the better record lost the conference championship game?
No let's look at that. By all means. Let's go back 20 years. For round numbers and since you used that number. To 1995, at that point the only CCG was the SEC that had started it just a couple of years earlier. In 1992.
Since 1995 the times the higher ranked team did not win the CCG were:
1999 #7 Alabama (10-3) beat #5 Florida (9-4)
2001 #21 LSU (10-3) beat #2 Tennessee (11-2)
2005 #13 Georgia (10-3) beat #3 LSU (11-2)
2008 #2 Florida (13-1) defeated #1 Alabama (12-2)
2009 #2 Alabama (14-0) beat #1 Florida (13-1)
Of those upsets, twice the team that won appeared in the national championship. Those were 2008, and 2009. Both times those teams won the national championship by defeating their opponent on the field.
In the ACC the other example I will use since they are about the only other conference with a long CCG to draw from. They had their first one in 2005. In 10 years, there have been two times that the higher ranked team didn't win. Those were the first year when #22 FSU (8-5) defeated #5 VTech (11-2), and 2008 when #25 VTech (10-4) beat #20 Boston College (9-5). Of the 10 years they have had the ACC championship game. Only 1 time has the winner gone on to play in the national championship game. That being 2013 FSU over #20 Duke. In which FSU won the championship. FSU also won the championship this previous season and was soundly defeated in the playoffs by Oregon.
So I'm entirely sure what that has to do with tradition. But there are the facts at least.