To the doubters who say Yulia doesn't influence her programs here is an interview with Eteri in 2012 addressing Eteri's approach and Yulia's freedom to choose. It also says in the article that Yulia wanted to not use N.Morozov but instead do the choreography themselves.
Full article is a very good read into the mind of not only an elite skater but thru the mind of her coach!
Here is an excerpt:
On working with Morozov and picking Sabre Dance and certain choreographers not willing to do it...Yulia stuck to her guns:Do you have already some ideas for the next season?
E.T.- Yes, to tell the truth I have already been thinking about it for about a year. I have some ideas, not sure, we'll see. So far Julia hasn't agreed to them, but we'll try...and if Julia doesn't agree with something, then...
- ...it's useless to persuade her. But to tell the truth I don't persuade my students in general. I can try to show them some examples. Suppose the skater doesn't want to wear the dress in some specific style or to skate to some type of music, I can draw her attention: "Look how well it looks [on someone], look how this music emphasizes some strong qualities". And if the skater later comes to this decision, it's already his decision, he wasn't talked into it. I never persuade, but I can lead to something little by little. And after all, it's them who will go on the ice and skate. People around can complain about the colour of the dress but what if she loves it? It's her who skates in it.
Was it your initiative to work with him?
E.T.- Yes, mine, I took Julia to him. Actually this season she wondered if we might manage by ourselves, but I think, this collaboration could only do better.
Does he have some kind of vision for Julia? Some individual approach? For example, maybe he looked at her and said: the "Sabre dance"!
E.T.- No, actually the idea of the "Sabre dance" (SP of this season - ed.) came from Julia herself. It's been a few years that she has asked to skate to this music. At the beginning I was appalled by the idea. But somewhere in April they persuaded me to listen to this version - though which "this", they all are the same, sabres here and sabres there - but in the end I actually liked that arrangement. I liked that during the first half of the program you can't even guess it's the "Sabre dance", the most well-known pieces start only during the step sequence. And also maybe it's somewhere close to Julia's character. Though this music is still too intricate. I have a feeling that either people don't mind it or they really don't like it. For example, Sergei Petukhov said flatly: "I won't work on this program, because I simply don't like this music. I don't see it on the ice, I can't do it". Though other experts, like, for example, Sergei Chemodanov, said that this music choice is excellent, this music is Julia, we should take it.