If you added the pushout. It would not make sense to allow pushout in a top/bottom position. You would only be able to do it when both wrestlers are on their feet. In folkstyle you are trying to escape for 1 point advantage but in freestlyle/greco you do not.
Part of what makes each style great is that they are different, so I am not sold on the pushout in highschool. Maybe in college but not in high school. Let's teach our youth how to wrestle and not to just push someone out of bounds. Which I think would happen in a lot of high schools if push out rule was added.