I like your description of the short turn. I would also add a string feet pullback to shorten the turn radius even more.tt
Accck . . . words. Yes. Would be so much easier to demonstrate on snow.
I think you've got a pretty good idea of what I'm trying to describe. There is some displacement of the ski away from the body, but not in the first half. The concept behind it is to use aggressive inside leg flexion coupled with CoM movement downslope to flatten/release the skis so that the whole first half of the turn - from skis across the slope to skis facing directly downhill - is over very quickly and in a short distance. So there is very little time to pick up speed before we begin the edgier, steered finish. When executed and linked properly, it's very fluid and is effective for managing the descent of steep slopes particularly in narrow sections.
I understand the approach of managing speed throughout the turn, including the top half. I use that technique as well. That rounder, edgier top half, however, seems to me to add MORE speed because we get to our edges that much earlier in the turn. And edges are fast - even when we are using them to steer the ski quickly back across the fall line. The skis are moving more quickly and the forces are trickier to manage, IMO. Anyway - at this point, both of these turns are in my repertoire. But my choices about when and where to use them might be different from where you might.
Lastly - I love love love your question that made you unpopular in clinics!!!
I use this in moderately steel narrow couloirs. But anything stepper than 40 some degrees, I resort to jump turns to minimize time in the fall line.