A couple of points on this. First, every team on the top of his list, except Baltimore, is also top 10 in defense, points allowed. Even the secondary list his cites includes all top 10 defensive teams except SF.
But also, team with winning records would be expected to run the ball more because when they are up in the score, they run more.
I do not think it necessarily means that running more will win more games. The Cowboys can run more for example, with their lowest yards/carry in the league and it will probably result in more 3 and outs.
But if you asked me can a team win with a strong running games, I would say yes, if they also have a strong defense - which is why I wanted Dallas to focus on those two things in the offseason for the last 2 years.