Here is my take on what is being said, from a slightly different perspective, although I believe consistent.
It has been stated that it is all about the centripetal forces. Yes, I agree.
We feel acceleration in the turn when we keep our CM over or sllightly infront of the feet -- the edged carving ski deflecting our mass to a new direction is sensed as acceleration.
When we stop resisting or balancing against this deflecting force, (at release through OLR say ) the deflecting forces of the turn now only push against the skis, instead of the ski & body system. The turn forces overwhelm this resistance, and the skis move under us, apparently "of their own accord".
As we know, it does not take a lot of force to decamber a ski. You also know that if you are in the back seat, there will not be a lot of rebound created, because your bent legs absorb what would otherwise be manifest as acceleration.
So, it is the edged and arcing ski creating that deflecting force that drives the rebound, not the straightening of the ski. You ain't gonna get a whole lot of rebound twisting the skis -- edge grip is the key component.