I think you're erasing the economic component of the Marxist position, as well as conflating the nature of the state, which Marxists and Anarchists somewhat disagree on. Marxist communism, in its stateless form, is still fully centralized and planned, but also classless. It isn't about "transferring to the workers," that basis is the means by which to bring about communism. The millitarization of the state is necessary until the world is socialist and all class contradictions have been resolved, but there will still be administrative positions well into communism.
Anarchism is indeed more decentralized, but this is a departure from the Marxist understanding of economic development. The real argument is not based on how to get to the final stage, but what that final stage even looks like to begin with. Full horizontalism a la anarchism, or a one world collectivized and planned a la Marxism.
I do support anarchists generally, certainly over capitalists, but I think a lot of confusion is drawn between anarchists and Marxists due to having different stances on terms and what they look like in practice.