I will note that I have never looked at the push/pull rating for any of my players and I don't even consider it when looking for FAs or draft picks
so, I don't think it is important at all in terms of abilities of a player ... I just think it is one of those things that is in the game to add the "realism" that exists in real life ... some guys pull the ball, others don't ... two equally effective strategies when done by a skillful player