You need to follow the grain so if you watch the Boggs video, he is tossing it around in the air to switch it up all the time. I started with the stanley and record, and they were both supposed to be pushed, there are thumb indents that actually get in your way if you pull them. For some reason I always thought they were to be pulled, other than those situations where you spin them around. Clearly when using them in a horse, you are pulling most of the way, and for one fixturing, one is normally pulling the drawknife so would keep with that when changing to the shave.
More recent designs seem to leave the indents off. Here is a pic of Boggs pushing in a horse: