"Basically the theory is that you learn to play beautifully, with a lovely sound and good technique before you worry about learning to read music or play in other keys."
ooh that's great. We have 26 little violins mouldering in a cupboard at school and the head wants to bring them to life as she has two violinists (me and my friend) willing to supplement the peripatetic work, as well as as specialist music teacher who is a cellist The headmistress is going to spend a whole day being "taught" to play the violin by me in June whilst the class teachers keep an eagle eye out for kids who "light up". Those kids will then either be told to ask their parents for violin lessons with the peripatetic or, where the teachers know there is very little chance of that happening (the poor families, the chaotic families, etc,etc) then they are going to sign those kids up for a "violin club" that my friend and I will teach.
My friend is highly trained classically, and very much a visual learner rather than an aural/memory learner and she has found my approach this year a bit bewildering - though we have agreed in taking technique seriously and we are incredibly proud that our girls are using their right hand little fingers properly and making a good sound.
So, having read your post, I think I am going to suggest to her that we could follow a formal Suzuki syllabus, because it sounds like an ideal way to "meet in the middle".
Interestingly, I have also been teaching keyboard to a boy from a vulnerable background at school this year (again, zero chance of "proper" lessons.) His learning style is interesting: he wants to play rock and roll music ("Peggy Sue") - BUT floundered until I introduced notation - now he follows the notation faithfully - he can't yet "hear" the syncopations that come so naturally to me - so he needs "classical" training techniques in order to access his rock and roll music - which he has "unswung" just as instinctively as another child would be desperate to "swing" a classical piece.
Classroom teachers nowadays know so much about learning styles, and in music I think that "the culture" isn't sensitive enough to this - some people learn classical music best using aural techniques, and conversely some people learn rock and roll using "classical teaching" techniques (notation and a focus on notes first rather than rhythm first).
In fact, this is making me think further thoughts that i need to give the classroom teachers more of a sense of "ownership" of teaching music... so they feel a bit more confident and able to introduce it. I think very few people are truly not musical - it's just that some can't memorise, some can't syncopate, and some can't follow notation - they should all be able to find their own learning style.