the full Cyrillic name is used.
IMHO it would be better to use her common Latin name and not use the patronym (fathers name).
It’s clear that “Анна Юрьевна Нетребко” is her full legal name in Cyrillic script.
All over the world (outside Russia) she is just known as “Anna Netrebko”.
Since she is also Austrian, she might also have a legal Latin name (whatever with or without patronym).
Based on the SG the “official name … In most cases, it is the name as found on releases.” should be used.
“Official name” is not mandatory the legal name.
She lives mainly outside Russia (primarily in New York, I think, but also in Austria).
All her discography just uses “Anna Netrebko”.
We could find a lot of reasons, why just “Anna Netrebko” might be the better name. I find less reasons to use the Cyrillic style and the patronym.