When things like that are said, it is difficult to be sure weather there is "meeting of the minds". If you check out Facebook - you see hundreds of thousands of teens/young adults sharing their photos - some very private and almost nude, they write all kinds of private information about themselves; what do they do, what do they prefer - and share this with whole world.
Ilinykh's instagram/twitter account is a good example of this. If I remember correctly, her facebook and formspring were very informative and showed her as a girl very much unaware of her surroundings.
This does not make her mature. She was/is acting immature. And while her attraction and interest in an older guy is explainable - Morozov behavior is inappropriate, to say at least. He is a successful man when it comes to his career, he is also 3 times divorced father of a young girl. While this is not important to skating, it is to his personal relationships with his students. And the fact that Ilinykh was underage and in inferior position, it only makes this hole situation more disgusting.
There are very good reasons behind policies of teachers not dating their students, even at universities, where students are over 18.
While Ilinykh's behavior can be understood with her immaturity and youth, Morozov is like a character from a cheep novel when it comes to women or girls in his life...