The Fundamental Questions Facing the Saints Organization and Ownership

SystemShock said

... and none of that is relevant to the fact that things aligned (i.e., luck) to get Payton and Brees in N.O. at the right time. No one saw it coming, Payton and Brees pairing up to run one of the best offenses of all time, or that they'd win a SB together.

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But you can say that with EVERY franchise.
It was luck that the Patriots hired BB and a 7th round draft pick turned out to be the best QB ever.
The Eagles had 1 lucky championship season.

You can point to every Super Bowl team and say it was luck. That’s a part of how the League works.