This could then be called a way of using the elbow but to me it's a result of using tegatana from centre.
Well if that's what the term means then I guess I just don't get why it would get a name. For instance, Shioda had terms that translate as things like "center power." Good name, I think. You use your center for everything, so that should be called "center power." But why talk about the elbow if there isn't something at work besides using your center?