I have not seen any mention of ski stiffness anywhere in the discussion. If one skis a softer ski at a given speed, the resultant arc will be greater than with a stiff ski, and so the turn length reduced.
In the days before special powder skis, straight skis were the only option. In deep snow, particularly in a low alpine situation, (snow tends to be heavier than high or extreme cold areas), there is no opportunity to exercise rear edge control. Pure arc turns were the only option when using standard techniques.
Of course these would not work for really steep areas, unless the skis were ultra soft.
In relation to skill levels, I cannot quite see the logic that one form of ski technique carries a greater risk than another. I would argue that the risk is related to a) the ski environment and it's condition, b) your capability to handle these, and c) the risk evaluation between a and b.
That would apply equally to steep and deep, general piste skiing, avalament, boarding, carving, racing etc.
I can't recall having any piste fall in the past 15/18 ski weeks. But in my earlier days, I had several speed hits, two into trees, one OK, one not OK, and one hit into an Austrian racer who was supposed to be leading me, but he chickened out at the edge of a jump. I hit him mid-air, it wasn't a pretty result, but I was OK.