I want to address this issue of pivoting being #2 and tipping #4, or in general comments about PSIA putting pivoting "above" tipping.
I just started my training and yes pivoting was taught as coming before tipping for low level students, a more basic and easy to learn skill.
But this doesn't mean it is a "higher level" or more important skill, just one that is taught earlier to beginners.
A parralel is that the wedge is (in effect) #1, the parallel turn #3. This doesn't mean that PSIA says the wedge is better of course.
Nor do they say that pivoting is better, just that it's easier and it works.
I'm not saying that this is the only or best way to teach beginners, btw, just talking about a few posts where it's said that pivoting is somehow "above" tipping in PSIA.
The sample wedge progression in the same manual uses rotary to turn the wedge out of the fall line, and is contrasted to the parallel progression. One of the statements made in the introduction to the parallel stepping stones is, "The examples present only a few of many possibilities for teaching new skiers without relying on the wedge."
So, in other words, there's actually a bias towards using tipping to teach novices how to ski whenever possible, but a recognition that some skiers will naturally adopt a wedge and/or prefer to learn that way due to their sense that it is more stable. There are also teaching terrain challenges involved, since the direct-to-parallel approach is more effective when the terrain allows for straight runs without braking.