I believe that the Rusty is correct that there is no defined or even a reasonably encapsulated standard for movement analysis. Like instructing and coaching itself, an MA is a very intellectually and philosophically broad based developmental discipline from a number of unaligned sources from which one must have quite a solid and time-tested foundation of understanding in order to to weave in and out of effective technical discussions from person to person, team to team, org to org and country to country. However, let’s give the sport of skiing some time to evolve. We were burning witches at the stake only 300 years ago and, apparently, the human race has not evolved very far since.
To answer the OP directly, here are a list of different matrix, filters, tools and goals to possibly utilize for an MA from a number of technical standpoints and developmental philosophies. Whether these, any other modalities or something more casual, the best MA is the one that can meet the subject/client/athlete where THEY are in both their head and in their skiing.
- Competency with fundamental skills: Fore/aft pressure distribution, rotary/separation, inclination/angulation, flexion/extension and edging/tipping
- Identifying obvious flawed movements, patterns and correction through a developmental application of these five fundamentals
- Adhering to the concept of kinetic path of movement that emanates from the feet/ankles
- Identify typical visual and physical cues for motor pattern flaws, correction, repetition and ingraining
- Describe flawed motor patterns and corrections through the DIRT lens
- Identify drills and their correct form cues that connect a fundamental skill challenge directly to a weaknesses
- Identify tactical errors and unfacilitated opportunities
- Utilize the turn phases to describe location, order and timing of all movement factors
- Some reliance on what an individual can identify as the most widely used terminology from leaders in the fields of coaching and instruction
- Track analysis for identification of turn shape/size, pressure distribution, track width & width consistency, weighted release/transition/re-engagement and, ultimately, cleanliness.
- A bunch of other stuff I know nothing about, much of which can often be an interesting read to find here