That's assuming anarchists agree with Marx's definition of the state. Which, famously, they don't. It's far too nebulous to be useful for analysis, theory or prefigurarion. Marx isn't the end all be all of left wing politics. Here's a short video going into more depth on anarchist criticisms of the Marxist conception of the state.
To quote Malatesta "Anarchists, including this writer, have used the word State, and still do, to mean the sum total of the political, legislative, judiciary, military and financial institutions through which the management of their own affairs, the control over their personal behaviour, the responsibility for their personal safety, are taken away from the people and entrusted to others who, by usurpation or delegation, are vested with the powers to make the laws for everything and everybody, and to oblige the people to observe them, if need be, by the use of collective force."
If you're going to debate anarchist ideas, you should use anarchist definitions so at the very least you understand what you're criticizing.
Definitions matter and communism has been understood as a stateless, classless, moneyless society for as long as the term has existed. The only people who would contest that definition are either ignorant or anti-communist actors who have a vested interest in muddying the waters. And I don't think those individuals should have the final say on what is and isn't communism.
Lenin didn't practice or install a communist society, and as you've noted, he didn't intend to. Council communists and even libertarian marxists (Marxist autonomists for example) are both horizontal ideologies and despite some linguistic differences from anarchism, I consider them comrades. They can call it a state if they want, anarchists would disagree. But if the only difference between us and them is definitions, I don't really see an issue. That's something that can be debated post-revolution