Another frame of reference: What kind of push hands? Single handed, or double? Fixed feet, set step, or free step? Formulaic or dynamic? I've played push hands with a guy who's whole push-hands experience was getting the other person to lift their front foot off the floor. If that is all the push hands that is taught, practiced, then a certain set of skills will develop in accordance to that game. The same way "sport" taekwondo differs in application to traditional kickboxing.