skiing has always had a broad spectrum of method, ranging from those firmly committed to 'style' (maybe Stein Ericksen...) to those squarely committed to 'function' (maybe Warren Witherell, George Joubert and those more 'new school').
Stein, for anyone whose even spent some time with him, could really ski in any fashion he desired - he was that good. His personal choice was to do it with 'style', in a fashion as one might think of ballet (dance) which has very firm structure; as opposed to modern dance.
On the other end are those who looked at the objective, considered the environment, and really understood the tools (again Stein knew this, he was however good enough to mostly ignore a lot of this). For Witherell and Joubert, form followed function. In the era of skis which were mostly identical; even when 'shorts' became popular, they were shortened versions of std long skis. So the focus of 'function' was narrowly defined.
Now we have a embarassment of riches in the 'toolkit'; so function and form must also broaden to make optimum use of the chosen tools. My guess is that given today's variety, both Warren and George would find newer paths to function, using form.
But, aside from the very defined aspects of racing, where form purely follows whatever allows the fasted time down the course; most other skiing is firmly contained by some elements of style. The halfpipe and park are great examples of a modern 'style' in a very tight envelope.
General rec type skiing is still greatly encumbered by fashion/style, even when some profess complete allegiance to function. For the vast majority, when you see a skier in a 1-piece suit/fartbag, you see an 'old-skool' skier, regardless of how new school he might be slarving. The modern uniform of the performance rec skier is easy to define, few vary from it - the encumberance of style.
Ultimately skiing is an inward reflection. It's less about how you 'appear' to others and more about the experience, the flow, the mating to the mtn that you experience. Whether you're flowing thru some knee deep or banging thru a bump run, when it's 'flow', it's obvious to you. To others it also appears you;re in the zone, but how and why, is less obvious to them.
On the other end, when you're hacking up the run and hill - you know it! You don;t need video to tell you.
'School', whether structured Ski school, race camp, or self-run drills are just 'lessons'. Lessons to develop the feel, skills and knowledge of how to adapt your sliding to the terrain and conditions. They are not the final objective. Some schools/Instructors teach to 'style', other teach to function. Function ultimately gets you further along.
Skiing with 2 legs and 2 skis infers independent action. How obvious it is and how independent is determined by skier physiology, equipment, terrain and conditions AND how much style one feels they need to add. Stance width is also determined by all these factors. There is no correct stance width. There is only being in the zone, or not.