Depends on what people consider Communism/Socialism. I'm pretty sure what Nazism is. I mean the Dalai Lama is still a Marxist and he was exiled from a communist country.
I think ultimately wealth equity is one of the fundamental problems of society and if it's not somewhat fair people will be oppressed. Inequity occur in both capitalistic and communist models and the only real way to deal with it is not thru ideology but thru practical systems and regulations.
If people want to talk body counts, I'm pretty sure Capitalism has killed far more people then Nazism or Communism. Probably more people then Nazi and Communist regimes combined.
If you live in a country like China, people there purged/killed by both Japanese, KMT, CCP, British, Russian, German, East Indies Trading Company, Opium peddlers, etc. And not just small amounts but tens of millions by all these groups or thru instability caused by all these groups. Ideology is meaningless, you have to be strong as a individual no matter what ideology you hold and you have to organize your very mean gang to ensure that you're not abused by others, regardless of their ideology. If you want you can even be nice and kind to those less fortunate then you are instead of being a tool.