I don't have a problem with Kochetkova's anatomy. Although not ideal, I prefer her proportions to very long-limbed dancers, and I find her movement quality and musicality compelling.
Oooooooh, what would Balanchine say? Tsk tsk.
Kochetkova was not only Russian-trained: she had experience with the Royal Ballet and English National Ballet before joining San Francisco Ballet, and the Bolshoi, Mariinsky, Stanislavsky, and Mikhailovsky have invited her to guest, so she's good enough for them now.
Kochetkova wasn't really given anything substantial at the Royal ballet, just dolls and children. This was why she jumped at the SF Ballet offer.
Her training is Bolshoi, IIRC, and it shows. The excellent movement quality that you mention comes from there. Guesting is one thing but she would never get a permanent spot in either Mariinsky or Bolshoi, she said so herself and I believe it. No one feels threatened by her there. OTOH, when Diana Vishneva was invited to guest at Bolshoi a while back, the leading ladies there had a bit of a freak out.
Random thoughts of WBD (SF and Bolshoi so far):
Poor Mathilde Froustey didn't fare well, did she, so wobbly and wooden. She looks like she barely weighs 90 lbs but feels like twice that. Her Albrecht almost did dance to death.

YYT is ethereal, weightless.
Watching Bolshoi now, the barre is kind of sloppy! Wake up, it's World Ballet Day! But the pianist is so good, it's almost distracting. And

they gave her some airtime!
Where is Evgenia Obraztsova? (I think she is here, in the States?) Where is Svetlana?
Oh the ballon on the men...

Boris Akimov and his interview is fascinating. He still got it.
Denis Savin and/or Vlad Lantratov in Radu Poklitaru's Hamlet--where can I see this amazingness?
Teared up watching the Plisetskaya footage.
There is a Putin doppelganger at one of the center barres at the Royal Ballet.
Their class is really impressive. They are all wide awake and on.