First of all, if your argument agains the Scott512 statement about "being worse after Eteri" is based on a thesis "they left when they were already broken or starting to break", than Tarakanova (and I don't think the others too, here it is just more visible) is not right example of counterstatement to it and therefore it does not disprove it.
Fist of all, Anastasia did not want to leave Eteri specifically, she wanted to quit figure skating as a whole. Only after quitting she changed her mind because she missed the sport. Second and most important, she did not left originally during any era of declination at all. Also, one should remember that at the beginning of the last year she had pneumonia, statements about her not being consistent under Eteri should also consider this, why her results after JGP final, where she won bronze, were worse (7th at junior nats, if I'm not mistaken, which still isn't any shame at all). If she is more refined is of course legitimate opinion, but quite subjective. Her RusNats FS was the best I've seen from her, but till now it was the only program on that level. Also, she is 14 now, so it could be expected as anatural thing that she would be more refined than in 13 no magtter the team. I would never expect that even top skater training in top team would deliver her best at the age of 13. Of course she will grow in another team also, but I have no doubt she would be better than last season with her former team also
If we consider others, Polina was wounded, but I don't know anything about she would not receive all the necessary support, just like Medvedeva. Again, statement about not proper care are fading when we consider medical treatment of her leg even abroad, time for recovery, nobody pushed her into competitions till she did not feel she could do it (at least if I ommit opinions of some people who previously blamed Eteri for preferring Zhenya over poor Cinderella Alina, just to completely turn the opinion when the very same people started to blame her for preferring evil Alina and all

). Darya - I don't know in what physical state she left Eteri at all and I'm suspisious that any of us knows better, so saying something about "starting to brak" is nothing but pure speculation. Everybody is entitled to speculate as he likes, but that's not winning an argument. Lipnitskaya is case of her own, she is the case why many people blame Eteri so much, but we can see practically all the problems she had at other skaters in other celebrated teams in other celebrated countries too. Still, nobody is taking pitchforks and calling for burning witches.
I bet this is the real main problem people have with Eteri. She is creating many champions. Not one or two in one olympic cycle, but one, two or three nearly every season. How to name it? Factory. Because that gives the impression it's some mindless line of production. While it is so far from truth, I bet even h-people of Eteri admit that 4A and other skaters there have their own style, strong and weak sides and all. Alyona is different than Sasha, Sasha different from Anna, Anna different from Alina.
At the cost? I would be glad to hear the statistic of other teams, the rate of injuries or other problems to number of skaters and I should say top skaters. Also, people often speak about how long skaters are with her. In fact, in comparison with others it is not some short time, Kim Yuna was with Orser for three years, since 2007 to 2010. And again, it causes no trouble giving him credit for Yuna's seccess during that era. But when it comes to Eteri, no "credit for skater XY's success should belong to her previous coach, not Eteri" and all. I don't think I'm the only one who consider this attitude very biased.
I personally bet that the message is clear: "Eteri, please, be kind and create only one top skater per 4 years like we others do. Creating more could be considered as being evil."