Memes

The core tenant of every form of Communism, regardless of if said party or organisation follows it, is as follows: that the means of production should belong to the workers who work them. If the means of production are not in the hands of the workers, then they are not communist. If they are in the hands of a CEO or a corporation, you have private capitalism or market capitalis like the US. If you put them in the hands of a state, they are in the state, you get state capitalism ala China or the USSR.

The power structure of the state protects an upper class, be it billionaires or "the party". If you abolish the state, but not capitalism, capitalism will rebuild the state (which is why Anarcho capitalism fails every time) and vice versa (which is what happens with Marxist Leninism).

For a Communist or communalist society to work it needs to be Anarchist or classically Libertarian (aka like Bakunin or Kropotkin proposed, not "money first"). It needs to have a horizontal and democratic decision making process that is decentralised, federated, and involves all the members of the community or communities effected. If there is to be a state, it should be to facilitate the colaboration of communities in a bottom up manner. These are the features of almost every single effective or successful Anarchist or Socialist movements from Rojava or the Zapatistas, as well as non-political movements like the Open Source Movement, railway preservatiion movement, and even the early RNLI.

The power structure thant would forbid a free market would be the collective weight of everyone else rather than a state that, sooner or later, becomes the jackboot of capital.