I've heard numerous times that the stereotype stemms from the fact that during the cold-war period Russians were commonly played by other slavs in American movies. Among them were the Polish, who allegedly say "Na zdrowie" when they drink. So at some point things got mixed up.
I'm not sure if it is a valid explanation, but it does sound legit
You know, in the company of my friends we almost always drink with words:
-valar morghulis!
-valar dohaeris...
And it is kind of funny as hell. 140
Потому что "nazdrovye" это попытка прямого перевода "cheers". У нас в культуре такого слова нет, которое мы просто произносим, чокаясь, вот иностранцам и пришлось худо-бедно адаптировать.