Edge--how would you describe your tail carving technique relative to the concepts of the ski's steering angle and their ability to "self steer"? Do you ever find that you have to pivot them high in the turn in order to set the initial steering angle (and to support your CM)?
Let's start with the last question first. The start of any pure carved turn from a near horizontal traverse is a kind of a balancing act because you need to commit to tilting your body into the turn to get the edges changed to start carving the next turn (when on a nearly horizontal traverse by tilting your CM downhill where gravity can "pull" you even further off balance if your skis don't come around in time to catch you). Occasionally that happens to me, even with good shaped carving skis, but not nearly as often as it did when carving on old skis with far less sidecut (which was much more difficult and few skiers were carving back then). When the skis persist in going straight ahead though, after I edge them and want them to turn, a quick step to the inside (with the inside ski at a tighter turn angle) nearly always provides a quick recovery. The more your skis are near the fall line the easier it is to carve back and forth on them. It is the carves starting from a wide traverse that are most difficult, and therefore a challenge to learn. So I practice them to get better at that balancing act.
I work on trying to not use any pivot whatsoever to initiate a carved turn, but it is possible I'm using a pivot that you are probably not even considering. That is, by weighting the tails the ski tips are so light that I can pivot off the tails to bring the ski tips down towards the fall line further if I want or need to. While the ski tails never leave the snow (and don't need to be re-engaged with it later) doing that is still technically a pivot even though an observer might never notice it. In practice, I try to not use that either, in order to get a pure carved turn, but it is always available to me when operating from the back seat. So if I need it, I can use it very easily with little or no additional unweighting involved. This going directly from one carve to the next makes for very smooth carved turns and little loss of speed. Using this I seem to be able to follow a good carving expert skier down a wide cattrack type run and keep up (or have to hold back by) making much wider and rounder turns than they are doing. You get the feeling of accelerating out of each turn and into the next. At Park City I saw and followed the one other skier (among many great skiers who were there that week) who seemed to be doing this. When I complimented her on her carved turns she credited Alan Schonberger with teaching them to her. Others we were both skiing with told me that she was a top national over 50's racer. I think they said second place in the national finals once.
I have a theory as to why carving off the tails makes carved turn initiation easier, but I'm not sure if it is correct. The flare of the skis tails behind the boot, when edged directs the tail out into a wider arc than the boots and the rest of the ski takes. That might also be technically considered a pivot too, but it is certainly not a conscious one on my part. All I do is weight the tails and change the edges (usually a lot) and then anticipate and follow where the skis go next.
Ski Faster, Turn Quicker, Don't Fall (TM).