I think you are underestimating musicians. There is so much more than just following the music as written.
At least from a classical music perspective, we analyse the piece in detail, attempt to grasp and understand every single nuance and subtlety, determine which techniques we should use... Then we have to express the textures and overall progression of the music using available instruments (all the while hearing and adjusting to the unique timbres and sounds produced by the instruments, trying to elicit the best sounds possible). That's not even getting into the feelings associated with the piece. I am glossing over a lot of things, but a lot of information and thought and practice goes into playing even one piece.
And then when we perform/play it after all that, we synthesize everything above into our interpretation of the piece. All that work is condensed into a singular whole. Those "genius" dancers may very well be following an analogous process.
I take the same approach with my dance. Steps alone aren't enough; breaking them down into their base components isn't enough; the myriad methods to do a movement aren't enough. To adequately express the music and the feelings associated with it, I need micro adjustments and movements that can only be felt by myself and my partner, which is why I am working on proprioception and control of my body. Sure, by the time I reach any semblance of my end goal, only the most sensitive and responsive followers will be able to detect all that, but I consider it worthwhile.
(Which isn't the same as dancing every note, let me make it clear. That's just superficial musicality, at best a demonstration of physicality.)
I have nothing but contempt for dancers who are arrogant enough to believe that they — or their feelings — are above the music. In that case, they may as well be dancing to the sound of one hand clapping.