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...The reason is running the ball effectively allows for higher 3rd down conversion rates and higher SC%. Running the ball effectively opens up the passing game creating favorable matchups. 3 DBs can only do so much against elite WRs. Doubling them opens up the middle and underneath yada. TE and slot receivers then eat you up...
I know it seems like this must be the case, but do you have any idea whether or not it actually bears out? As a point of illustration, what about a not-so-hypothetical case where your effective QB is statistically more likely to convert a 3rd and 7 than your ineffective one is to convert a 3rd and 4? When you factor in the relative effectiveness of QBs, it's can easily be the case that--while the rushing game is still very important in terms of game situations and dictating defenses and clock management and short yardage and goal line, that the variation in the relative ability of the 32 starting QBs in the league more than makes up for the relatively minor benefits of having a more effective RB. For some reason, we don't have a problem suggesting a good or great QB can cover up for limitations in a receiving corps.
The fact is, with the amount of data available, if the variations in the effectiveness of running plays were important, it would very likely be showing up someplace in teams' statistical likelihood of winning games. Now, I'm open to the idea that there is a correlation in there somewhere, and it just hasn't been unpacked yet (i.e., there can be some other compensating effect in the data we've got now that's masking a true winning correlation connected with running the football effectively). If that's ever exploded, then I'll change my opinion immediately. But, until it is, the data is the data. I'm not going to draw a conclusion contrary to what the evidence suggests just because it seems counterintuitive. To many counterintuitive things turn out to be correct in the long run for me to be comfortable with that.