Yes, the biggest issue I have with the skateboard push is that people don't stand sideways while pushing. A proper skateboard push would have some frames in it that look very similar to a run animation. Something sort of like
this. Imagine ... I don't know, image standing on a towel on the floor and pushing yourself forward with the other foot, or something, and try to observe the orientation of your body. While actively pushing forward, you're going to end up completely facing the direction you're trying to go.