I am a first-generation American from one of those Eastern European countries in your list. “Sasa” is by no means a name used there, unless by a Russian imposter pretending to be from one of those countries. And I still have never heard it used there, even by the imposters.
For me personally, the name always was and always will be associated with Bolshevism.
I guess I must be younger than you. Sasha Obama was born ten years after the fall of the Soviet Union.
Sasha Vujacic of Slovenia and the Los Angeles Lakers:
http://www.pe.com/imagesdaily/2008/03-02/lakers_bulls_basketball_400.jpg