I think a better way to describe the essence of communism is an end to dominance hierarchies. Authoritarians often use leftist rhetoric to gain power, which is why so many of them have called themselves socialist or communist, while being the exact opposite of the ideals they claim to support.
You are 100% correct, it is us against the oligarchs. That’s also the entire basis of communist theory, btw. Regardless of terms used though, we are on the same side of this fight, and I am glad that we are.