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Having an elite quarterback is very helpful, but the old adage "Offense wins games, defense wins championships," still holds true.
If you look at the stats from 2010's matchup between the Indianapolis Colts and the New Orleans Saints, you'd think the Colts whipped the Saints.
The Colts beat the Saints in pretty much every category. They rushed for more yards, they passed for more yards, they were more efficient on both third and fourth downs and the Saints only won on time of possession by about 20 seconds.
Then you look at the score and see that it was 31-17 Saints? How? There was one turnover to the Saints, but that doesn't explain a 14-point difference when the Colts threw for 52 more yards than the Saints and nearly doubled them in rushing yards.
The Colts defense was unable to stop Brees at any point. The Saints had a lot of field goals in the game, but when you put points on the board nearly every drive, those field goals will add up.
The Saints broke the Colts' by finally pulling in an interception, which resulted in a touchdown. Had Indianapolis's defense been able to force turnovers—or at least pressure Brees—the result might have been different.