"The Move" comes before "The Elvis". Some of us have come to realize that doing "The Move" makes "The Elvis" a no-teach". Two players that I worked with two years ago when I taught "The Elvis", are on my team this year. I'm trying to break them of the habit of doing "The Elvis" as it is so obvious watching them now how it hurts their weight shift. Players can still hit when consciously doing "The Elvis", however IMO it is not ideal.
I find "The Elvis" kind of a "catch 22". I think it has some value in teaching the relationship between front heel drop and the triggering of the hips. However, I don't want the players I work with doing it on purpose. I prefer to teach "The Move" which is further upstream.
"The Move" is one of those actions that a lot of the better athletes do naturally and therefore likely don't recognize it's significance. So it doesn't get taught. The action itself is almost undetectable because the back foot is in a cleat in the dirt. That's where swinging a bat comes in handy as well as understanding the dynamics of the overhand throw.
Some of us are ahead of the curve on this one. I suspect more and more coaches and instructors will make an adjustment in how they teach as info on "The Move" spreads across the internet. I made my adjustment a few months ago.
Is the "Move" the pushing off with the big toe on the back foot?