Do most teachers teach techniques like rotation and using arm weight or is it something that each person learns on their own at their own pace? Also, if these types of things are taught, at which level are they taught at (beginning, intermediate, advanced)?
It's a black art

I'd put it this way, can you find a pianist dvd / video snippet on the internet [in the audition room] mebbe that litisia, lassita woman or whatever that you think "Yeah, I wish I could play like that" - 2 things to note (a) We've been told that they have bad technique so you shouldn't watch them and (b) the movements you see them doing are invisible

Which is a pity because you'd think someone who thinks they can do it could film themselves doing it [Yes, there are videos around, but when the book has you flapping your arms in front of a mirror like a penguin for 7 chapters before telling you to sit down and playing Chopin "If I could play that Finky baby, I wouldn't need your #$%$# book" or that cost a ridiculous amount with the details of the method hidden better than scientology]
So like I say, I think it's a black art - there are a lot of videos of folk playing on the internet and what they do is pretty similar once you look beyond the theatrics / physical differences / differences in the piece(s) they are playing - and account for invisible aspects and their level of playing.
If they are all wrong, I couldn't give a $#%#$% to be honest - because the product of "correct technique" isn't in the shops - an analogy - make do with the Steinway or Bosendorfer because the leahcim piano - that's modern and much better, but you can't buy [Local shop has a 2 year waiting list, you could try down the road], play, see or hear, but I'll tell you how much better it is, etc - if you see what I mean

Perhaps the biggest issue is avoiding teachers that use the words "parents" more than "students" because they've probably get beginners who are kids and they don't need to teach much if anything w.r.t physical technique [and you'll see that if you see those very young kids playing]
I'm wondering perhaps if I go and learn yoga / martial arts / etc the teacher will say that playing the piano is a good way to get the relaxed body needed for it "FFS they sent me here" "Oh..." - or perhaps if I train to be a doctor, the hospital will pull out a book on piano playing as opposed to the books on anatomy that piano players get

Good luck finding a teacher.