It’s not an exercise, or a movement. She offers her ideas for how to achieve the goals of correct posture, but there is no secret exercise. I guess you could say she has a “process” for how to achieve it, but I wouldn’t call it an exercise. She does not make you promise any secrecy, but she expects credit be given to her methods (understandably, and as it should be).
I described above what I think is lacking in the teaching style of the group. I think part of it is that facebook is not really a great platform for this kind of stuff, though (e.g., top loading of newer material, etc.). But her “live” sessions, which seem to form the core of the educational component, are too long, too unfocused, and she constantly interrupts her main points with anecdotes and to answer facebook questions. Call me traditional, but I’d be able to follow a more direct lecture better. And it really needs a video of her (or one of her trainers) working with a horse while also describing what they are seeing/doing/problem solving (ideally multiple such videos). There’s one video of a trainer working with a horse, but the narration is at times overcome by wind, and what the trainer is doing could be clearer (“I’m looking for this muscle to disengage here,” etc.). To be fair, I suspect this will change in time, as her business grows - every body has to start somewhere
You are encouraged to reach out to the admins of the group for personalized help, but I think (perhaps mistakenly?) this is for paid 1:1 sessions. But maybe I’m wrong and I should ask, I guess.
And to address your other point - I agree there appears to be some embellishment from the participants (largely unconscious or naive, I would imagine) giving credit where it is probably not due. For instance, no, I don’t think doing this work for several weeks made your horses’ coat shinier. That, to me, is silly. But I do think a lot of the structural changes people are seeing and reporting are real, and indicative that this work is very, very good for a lot of horses. (But let’s face it - for many, riding around with the horse’s head up in the air is the norm, so postural improvement is low hanging fruit for a lot of folks!)
All that being said, I suspect in a few years she’ll have better educational programs, it’s just something that has to be developed over time.