To the OP in your response to me about reading versus riding. I do think that riding plays a far more important role in the education of the rider than reading. For a coach, yes they should be well read and versed in the musings of others, as well as having had a large arsenal of horses in training throughout their careers. There is always something to be learned about a certain type of horse and it is always helpful to have the words of others to teach our students. The problem with a fairly basic rider reading a lot is that they do not know when to apply certain things, what will work for their horse and what is actually a correct feeling. This is why the coach is so important to the rider, they are able to "pre-chew" information to give it to the rider in the right sequence and at the right time. Talking about refining the aids with a double bridle is all well and good, but not with a rider still learning timing for the changes, riding the pirouettes, half pass and who has really only felt the beginnings of collection. The rider, as well as the horse, should be able to create and maintain a high level of collection, ride with it through movements and with correct timing before being given a tool like a double bridle (large spurs, different whips and thigh blocks on a saddle are other things that I include in this category).
However, that is getting into semantics, and I digress.
About your response to faye - I will let you know that the "ignorant backyard riders" you have classed yourself with happen to comprise my entire client base.
As well about the "upper level" and "a bit of skill" comments. Coming from someone who has again admitted that they have ridden to second level only, that is a very, very bold statement. It's in the same way I will not comment on the conduct of CEOs, presidents and others far above my experience level in those situations. My current FEI horse was purchased as a 5 year old, did his first PSG at 8 with a winning score and posted his first CDI win at 9 years of age, the youngest horse at the competition. I will leave it to your imagination to come up with who you think was riding the horse for these years.
Of course your coach sees no issues with the way you or the horse are being taught as it is under her suggestion to do these things. This is why I suggest a clinic with a coach and rider whom has proven themselves internationally. If only to serve as a "check". Anyone with a pair of riding boots can put on a "dressage trainer" hat and parade around as if they know what they are doing. It does not require a computer as you would suggest.
They say money doesn't buy happiness -- well happiness doesn't buy horses!