I remember his talking about that, too. He had already turned pro by that time, I'm pretty sure. The dance vocabulary he learned showed up especially in a piece like Nyah. I suspect the training also helped prolong his career; even now in his forties, he retains a lot of his earlier skills.
I echo other posters in thanking the GS people who are knowledgeable in this area for taking the time to explain all this. It's great to have such enlightening information! Little details such as the discrepancy between how spins/pirouettes are done in skating vs. ballet, with no spotting in skating--such fascinating information, and really helpful to know while watching a program.