What is that Russian word?

[Vuk]

Its very possible.

Vuk is this the only place you've heard this? And what is the member of the bands name.

Then again streechechnya isn't a name I've heard before. Then again it could be garbled, a last name , etc.

No, I have heard it in several other videos that have been taken down. It is not a part of the name of any of the singers either. The singers are Anastasia Prikhodko and Valery Meladze in one video, and Anastasia Prikhodko and Polina Gagarina in the other.