I went back and looked at one of my first posts, and I see that the way I wrote it was my mistake. I said you can't turn until you reach the critical edge angle, but that was not what I meant. What I meant was that you won't be edge locked until you reach the critical edge angle. This means that the ski will smear and skid, but it will still continue to turn increasing the edge angles until you reach the critical angle and become more edge locked. My point was that people are floating through transition and steering the skis to skip this skidding phase to give pencil tracks. The irony is that the perfect track is not just from tipping, while people tend to focus on just tipping as perfect carving.
While it's easy for the ski to turn and skid when flat and unloaded, it will not "continue to turn" without being rotated - so while transitioning in a straight line, it will continue on a straight line while you tip it on edge more and more and engage more and more. The trick is to have the fine ski control to keep it from pivoting, especially if you have some counter when exiting the previous turn.
I know this may kick off another thing about "early pressure" - a race coach's darling - , but this is why delaying pressure as much as possible is a valuable skill: loading the ski too early will impair engagement, especially on ice, as the ski is not at the sufficient edge angle yet and it may break through the snow or skid on the surface. Watch the slowed down M.S. sequence and see how gently she starts loading it as it is tipped on edge...
Warren W I believe had a nice paragraph on this, along the lines of allowing pressure to appear only when the ski is at a sufficient edge angle or such...