A "conservative" communist is an oxymoron. By definition all communists are leftist radicals. There is no conservatism as we know it if communism. There are just degrees of evil. Mao and Stalin were "liberal" i.e. true hard-line communists.
A conservative communist is one who actually has it dawn on him that communism is unworkable. But that he was not a real communist in the first place is my argument.