If a song touches my heart it has also an impact on my movements.
Same here. Ideally, we don't dance the same way to all orquestas, nor to all tangos by the same orquesta, nor – depending on the DJ – to all tangos in the same tanda. "Musicality" for dancers is "fitting movements to music." Sometimes it's in how we dance the movement, the movement's speed, shape, size, etc.; other times it's in what movements we choose in the first place.
I agree. But what if you're a novice still struggling with some moves and appreciation of the music forms, and you don't have the vocabulary?
This is an eternal dilemma.
I'm no fan of classes that focus on vocabulary rather than fundamentals like posture, embrace, technique, collaboration, traffic management, and above all musicality. At the same time, it's a lie when teachers roll out the old "You can dance entire tandas nicely with just walking!" line for beginners. Experienced dancers who are years beyond beginners can walk a lovely tanda, but that quality of walk with all its variations and expressions is for advanced- to master-level dancers.
If you want to teach beginners musicality, you need to teach them enough ways to fit movements to music that they can dance musically. We've all seen the beginners who try to dance the mood of, say, a complex Pugliese tango using only the basic walk, cruzada, and ochos taught in their first lessons . . . it just doesn't work for them. Ditto trying to express staccato Biagi, or trying to keep up with D'Arienzo. So, I think some vocabulary beyond a few basics is necessary to teach musicality. I just don't think launching into a huge, confusing vocabulary makes beginners more musical.
Finding the happy medium is the challenge. One thing that would help a lot is if instead of teaching a new step or two every class across, say, 15 classes and six levels (hundreds of steps), 3-4 classes at a time were devoted to just one step at a time, showing how to change its speed, shape, size, level, system, direction, and so on. I remember watching a beginner's eyes pop out when I showed him six or seven ways for a leader to accompany follower ochos, and how to stop mid-ocho to take little sidesteps.