I mean, rich people pick fights with communists all the time. Now it is mainly by putting money into propaganda and bribing politicians to make sure that capitalist countries won't have powerful communist parties, but it is not unheard of for rich people to tell USA to invade a country and take down their government or give money to terrorists and help them smuggle drugs into Europe. United fruit company for example did both. Then again, times have changed, last time it was proven they did either was back in the distant 2007 and I'm sure they learned their lesson after that.
...But I was going somewhere with this. Oh that's right, if you see communists saying that they want to kill people just for being rich or being born into certain families then sure, that's bad and all but all the communists, socialists and whatnot that I've seen in real life (and not as strawmen) are just talking about equality and boring stuff like living wages or basic income. Meanwhile the Nazis I've seen are still quite open about wanting death camps. Almost as if the two groups are not the same.