Setting aside all the pedestrian advantages they offer for getting around, leaning on, opening bindings, etc.
I continue to encounter a traditionalist bias that a smooth and pretty pole swing is an element that those who have been around a while "expect" to see with "good" skiing. When a skier does not wave them around in traditionally pretty fashon, it is seen as a "deficiency" in their skiing.
What is the added value of poles to actual skiing when not being used as a blocking or stabilizing tool for a braking turn?
Are they balancing aids (or crutches)? Sure, the extended weight and leverage of poles can help us balance. But balance better, I am not so sure? Which tightrope walker has better balancing skills, the one who needs to carry the long pole to not fall or the one who can balance on the wire without? If one were to desire to push their development of skiing specific balance skills to ever higher levels, might that path be be more enlightening to explore with or without poles?
Can their swing be used for timing? Sure, but cannot one generate timing from other movements as well? I find that when students focus on their poles their focus strays from far more important things.
I will teach anyone who wants to do the "swing thing" how to integrate it into their skiing, but with the goal to make it avaliable when needed, but not to create an artificial or dependant need for it.
I am glad for the hours and miles spent skiing without poles as a race coach over many seasons that has enabled me to develope alternative balance and timing mechanisms and freed me of over dependance upon my poles for those aspects, yet I retain the option to employ them when I choose to, even if only for cosmetic effect.