xwalker
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I really don't think Adam's ever said that the running game was of minimal importance. He's always granted that obvious rushing situations exist. And that short yardage effectiveness also does have a relevant correlation to winning, for that matter.
He said in a reply to me in the past couple of days that defenses should always play with maximum effort to defend the pass regardless of what is going on with the offense's running game.
The importance of the running game is not just short yardage or situational. If defenses do anything to defend the run that makes their pass defense more vulnerable then the running game is having a positive impact. We don't have the ability to measure that impact with the available statistics. If you want to show something mathematically (statistically) then you can't just make assumptions. Once you know that the running game has any amount of impact on making the defense more vulnerable to the pass, then saying that it is a small impact is an assumption. Any theory that involves assumption is not proof, it's just theory.