Eteri Georgiyevna is a trainer, not a PR manager or agent.
She doesn't own the commercial, portrait or legal rights to any of the skaters, for the minor children these belong to the parents I'd think.
Alina however, will soon be a legal adult and required to pay income taxes over her personal income. Let hope she'll get good legal and fiscal counceling, for she will be under scrutiny by the anti-fans and their alliances in the social media underworld and yellow pages.
It would be wise of Alina to have a professional PR manager and agent who is not her trainer. There are certain conflicts of interest and their unavoidable consequences which can make things ugly for both.
Alina's active figure skating career will come to an end sooner or later, and with that, Tutberidze's involvement too.
All things considered, Alina seems to have been excellently managed up to today. She has become a very valuable icon of pureness in sports, I'd hate to see that image getting tarnished.
Here is a lovely montage of clips that are both funny and inspiring
https://vimeo.com/413128891
I do think Navka's shows are more important for the domestic image of Alina. But with Navka's enterprises comes a certain connection to the government of Russia, which foreign commercial companies might want to avoid?
Puma leisure sports wear and Shiseido premier brand makeup products, they are mainly associated with Alina as a personality and athlete, much less as a skater?
Boots and blades, skating apparel would be a more logical choice of advertising at figure skating events like Nebelhorn, which I doubt has the standing or power to even attract Puma and Shiseido. Plus, it is sort of good for Alina's future business and media interest to broaden her spectrum and not stick to FS alone.