Racers use convergence and divergence in their turns depending on what they want to do with their "line". Are they always parallel? NO. But they are in alignment!
The normal recreational skier is aiming for "carving" because that is the most recent technique. The variations racers use would show up in unusual circumstances...steep and a tree in front of you!!
For the skiers that have only been in stiff boots and on metal/fiberglass/etc skiis, a real eye opener to technique and "gospel" is to read the 1932 Austrian Instructors Guide, or a book on technique by Iselin or Engl, or even JeanClaude Killy. If you said "who", get a hold of an "old timer", or join ISHA (www.skiinghistory.org
A plug for PSIA-E Master Certtification program is that there is a History of Skiing clinic. It is interesting using rotation, counter rotation, French, Austrian, American Natural Technique(is there anyone certified in this Forum?-I met a few last year. I was on Patrol at the area where this technique was started).
Are you aware that you use a variation on Ruade and Avalement in moguls? Is it officially taught...no, it is survival technique.
I think we all agree that if the skiis are not in uniform contact with the snow, there is an alignment problem.
Once the alignment is taken care of, whether you are on edge (one or two) at the very top of the turn, or having to hop to get there(steeps or snow condition) or having to stem(upstem or abstem), it is all variations on the theme of getting down the hill.
Some more history. The first races were just straight downhills, hopping to turn, or even falling to turn.
Let's not lose the idea of "skiing is fun". We can be critical of our own skiing, but let's not be too barbarious when dealing with others. But my method is better than yours!