As described in the video is precisely how I ski. I do not use a traditional 2-4-2 turn transition. I steer in the direction of the old turn until I am on the new edges. The bulk of my weight/pressure transfer is before the edge change. It's a default perfect turn entry. ....
....I let the skis, ski back to me, I don't let the center of mass flow back to the skis.
I think of this way of doing transition as making "overcompleted turns." I maintain old edges as long as possible, and bring both feet back up under me to end the old turn. Feet travel in a sideways figure eight beneath the CoM. When the feet get back up under enough, the body topples, the edges change, and the skis start to move downhill.
@geepers, in my version, don't know about Pierre's version, yes, bringing the feet back up under me involves shortening the new inside leg independently of the other leg.
Is this similar to what you do, @Pierre, or different?