Yes, and from, that fact you are creating the picture fitting your narrative.
Two years ago eteri had only Alina as a senior russian lady and no Aliona, Sasha or Anna were invited to senior test skates, even that according to your logic it would make her "to look like the leading coach". I am not for such move but this blind hatred is truly annoying.
BTW I thought conspiracy theories are forbidden here...
Two years ago Eteri didn't have the reputation she has post 2018 Olympics, CSKA was still trying to pretend Sotskova was as good as Eteri's skaters if you remember scores at Nationals in 2017, while Tarasova was rooting for Konstantinova.
Also worth adding media exposure for Test Skates is a recent phenomenon, years ago it was really just about checking and audience sometimes wasn't even invited.
Last year the whole event was streamed on youtube by state media Perviy Kanal, with the arena packed with audience, press also was invited.