Similarly, authoritarianism is not a conatruct of Communist in ideology, just a way Communist in name only nations panned out in practice.
Communism in theory positia decentralized democratic governance, not central authoritarian rule.
Capitalist societies (which includes socialist nations, so I'm lumping all of the Western world in here) typically correlate with democratic rule; freedoms for individuals breed freedom of economics, and vice versa. It's actually quite remarkable that China has managed authoritarian rule so long with its increasing economic liberalization, but I suspect Chinese cultural traditions have a lot to do with that.
At any rate, any discussion of communism vs capitalism is purely academic; neither system actually exists anywhere on Earth.