In my experience with my Polish and Ukrainian friends, they don't really divide between the two and consider passing Anti-Communism laws to be getting one back at Russia by trashing the legacy of their empire that is still considered a golden era by a large amount of Russians. It's not so much a statement about what was primarily an economic system, but the legacy of the Soviet Union itself as something to not be nostalgic for but to be glad that its over. TTL's NSF has not caused a broader embrace of 'Capitalism' in E. Europe as such but more of democracy, nationalism for small nations and to consider their futures to be with America and Western Europe.Again, people will be anti-Russian, but I doubt they'd become more anti-communist.
Anecdotally I definitely detect a broader appreciation in Western Leftists about how awful the Soviet Union was since the start of the year - labelling Russia's occupations of Eastern Europe as 'colonialism' has definitely recontextualised a lot of the Soviet Union's actions from 'dreamers trying to make a project work' to 'They looked at the pigs and back to the humans and couldn't tell the difference'. I think a Chechen War with the full eyes of the world watching could easily have the same effect, especially as the story of how the Caucasus was conquered start being told in Western media.