Via SI.com's college football page

From Kevin Scarbinsky’s paean to Mark Cuban’s playoff proposal:

… Rematches would be an occupational hazard of a full-blown playoff. Using the formula above, Auburn might have to go through Alabama in the first-round, Arkansas in the quarterfinals and LSU in the championship game, all for the second time.

So to win a national title, Auburn would have to play and beat three teams it defeated in the regular season.  Wouldn’t it save time simply to crown the winner of the SECCG the national champion?