I don't know what you are talking about. Nobody said one needs to know the Latin words, nobody said having information is equal to having knowledge. Of course, one must familiarize oneself with the concepts, not just open up a dictionary. That goes without saying, in any profession. Without that, everything is futile, so please don't drag the discussion down to such a level.
Calm down

The point was I think you need that information to justify the method(s) but much of it probably should be dropped, unless the audience wants justification. People have used it in descriptions of piano playing that are wrong, and I think there is a certain danger that people will believe a method because it appears to be backed by science, even if they don't know whether the science is accurate or whether the bits that are scientifically accurate lead to conclusion that you should twiddle your arms in a particular way.
I suspect a lot of teachers would be put off by the material that discusses the detailed inner workings of the human body. Nobody needs to say people need to know it the book or method just needs to use them - or the flamewar needs to switch from piano technique [which nobody said they need to know either, but I figure folk playing piano want to know] to an argument about where the muscles are or aren't in your fingers [which, as you say, nobody said you need to know] - but if that's used as a way of justifying an approach to method, I've no choice but to know it to be able to say "Yep, that movement or approach makes sense, the other one is flawed"
I guess I'm saying there's no point writing something no one said you need to know
I think teachers might consider themselves needing to be Doctors to be able to know the correct movements and thus teach them if the language looks like that of Doctors - and also, perhaps, to believe it's something very different from teaching piano.
i.e there definately seems to be a split here - as though having the movement knowledge isn't teaching piano and teaching piano doesn't require knowing the movement stuff - to me that's absurd, but am I wrong?
That's not to criticise particular teachers. I've often seen Taubman described as something "for people who have injured themselves" - which is partly bad marketing on their part, but also I'd say, because of an idea I get from those threads, where some seem to think, you play the piano, and, if and only if you're one of the unlucky ones that gets injured then you need to be careful and do things like Taubman - or mebbe it's bad luck, weak hands or something and that means you find another career - even where folk won't give eye contact if injury is mentioned when approaching people who are supposedly experts in acadamia in teaching piano.
See, for me, I don't care - it's a hobby - if your average private teacher doesn't know - there's nothing I can do - I'll read the books, but if I get injured I'll stop - my life doesn't end - I'll learn to paint or whatever. I don't want my doctor to stop saving lives to pander to my choice of hobby. But, if kids are being pushed into lessons from 3+ and then through acadamia and the situation reads as it sometimes does, I'd take a different view - then it matters. But, and I know you've said it - it matters in a way that the solution is teaching, not medical.
e.g Jamie Oliver's school dinners - a TV programme that has influenced the food given to young children at school, because of the playstation generation fud - they are all getting fat etc etc - that taught Cooks, not Nutritionists. If everyone is getting too fat, the solution isn't more nutritionists. I guess that's my point w.r.t why teachers not special doctors, but yeah, people will still get injured, so you need Doctors.
I think saying piano teachers can't see inside anatomy is disengeneous - neither can the patient, so whether the correct thing to teach is "one set of specific movements for playing the piano for all" or "finding the correct movements per person for them to play", that's what they need to teach. I note most of the piano related books don't suggest the latter, they seem to talk about one set of movements [don't read too literally - obviously they'll talk about seat height etc but the general fink / berstein is movements, not finding movements]