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I don't know why you think that over time calls don't even out but whatever. I'm willing to take the chance. I'll even sign a paper saying I'm disavowing replay forever no matter how bad my teams get screwed by poor officiating (although I am still allowed to b.itch about said poor officiating). Unfortunately I'll never get the chance because the obsession over "getting it right" even at the expense of actually enjoying the sport trumps all else.
You need to play a lot of games for that **** to even out. 16 definitely makes progress toward that goal. The playoffs are 4 games max. A big call can totally make or break a season.
Some calls, even accounting for the fact that it's a 60 minute game, are so impactful because of the part of the field you're on and the stakes of the game. You'll never run even because the scenarios are just too rare. And once you throw in negative variance event like the Saints got? It'd be a total fluke for them to have run even in the playoffs in the 10s once you throw that into the sample.