I think that the answer depends on what turn is, and what type of turn it is. What is it when "we" turn? Here, I will define it as the COM traveling in a an arc, any arc.
Rotary turns, not carving, barely on edge if at all:
We turn the ski, by rotating it with our legs, rotating our legs at the hip. In the course of that, we will or will not turn. If its pivot slip to pivot slip, then we do not turn; hence, the question of whether the skis turn us or we turn ourselves is moot. If we allow the skis to carry our COM side to side, then the vectors of travel, which include downhill travel, means we turn. Because we allow the skis to carry our COM side to side, we turn ourselves, not the skis.
Short Turns by Carving, without rotary.
We do not turn the skis. The skis turn themselves, because we have placed them on their edges and the shape of the ski, sidecut plus bend, turn the ski, as their designer intended. Whether or not we turn, like the Rotary case, depends on whether or not we allow the ski to deflect our COM side to side. If not, we do not turn. If so, we turn ourselves, because we allowed the skis to deflect our COM
Medium and Long Turns, Carving, no Rotary:
Same as short turn, the skis, with their side it and bend, turn the skis. (We tipped the skis, but if the skis did not have side it and/or could not bend, they would not turn.) For medium and long turns, it is impossible for the COM not to be deflected or carried side to side, so we turn; we cannot not turn. We chose to make a medium or long turn, so we turned ourselves, not the skis.
Do I think about it when I ski? Yes. I carve more than using rotary. I think of making the skis turn by tipping them on edge, but only in terms of setting up the conditions in which the skis turn themselves. I always think where I want my COM to go. I have full control of that. I turn me, not the skis.
I teach kids. I do not discuss that topic. My main focus is control of speed; fall-line-awareness; using a turn to control speed. Kids are not going to make turns that do not turn them(COM travelling in an arc), unless they simply go straight down the hill, in which case they are neither making turns nor, in my view, skiing. Kids will always think they are turning the skis, or not turning the skis. In the case in which the skis turn "on their own", not by the kids' volition, they will simply think "I fell".
Never heard of this term before.