I've met plenty of Estonians who have a Russian ethnic background, however identify as Estonian, speak Estonian, and do not consider themselves Russian. Again, I think the point of what I was getting at should be clear.
And, to your point about them being called Russian in Estonia, I've heard them called "Russian speaking" more than Russian. Then, again, the Estonians I know take a pro-integration position on the matter, so it could be a difference.
The point you were getting at simply doesn't exist. Ask those ethnic Russians if that's an Estonian or Russian name, they will tell you it's a Russian name.
Writing Russian names in Estonian script does not make them Estonian names.
https://en.wikipedia.org/wiki/Russians
In Estonia these people are referred to as Russians too, because that is what they are and what they identify as.