The British and American empires also led the anti-communist crusade. You'll note the massive stacks of bodies and constant installation of puppet governments each one is responsible for.

If you think the Soviets weren't less mass murder-y by a magnitude less than capitalist or monarchist governments you need to learn more about the constant stream of violence that capitalism produces. Even the massively exaggerated death counts of all socialist countries put together by anticommunists pale in comparison to just the British empire.

Also revolutions are the most authoritarian thing in existence. It is literally one class exercising control through physical violence and coercion against the class that has been socially murdering them and oppressing them until they collectively couldn't take it anymore and were organized enough to fight back.