Actually, Marxist ideology has stages of development-true Communism, or the Communism state of development is a classless utopia where the state “withers away”. No “Communist” nation ever reached that level. All of them would say that they were really at the *Socialist* state of development. If you remember the old Soviet Union, you’d know that it’s full name was the Union of Soviet *Socialist* Republics. It’s not uncommon for Socialist countries to have mixed economies. Look at Nazi Germany, for instance, or for more Marxist versions, Tito’s Yugoslavia or even the Soviet Union under Lenin’s New Economic Policy.
I think fascism is a better description of the examples you refer to - which is basically a more extreme and formalized version of “crony capitalism”, where politicos and corporatists coexist in a symbiotic relationship.
The Soviet Union was much closer to the ideal of communism where private ownership was essentially non-existent.