There was nothing "socialist" about the communist-era Eastern Bloc. There was no collective ownership whatsoever. Each country was owned entirely by a small group organized like a gorilla tribe, who used terror, oppression, propaganda and brainwashing to control the rest of the population. The satellite tribes were partially subordinate to the big apes in the Kremlin.

N.B.: I am not an anarchist, but I did grow up in the Eastern Bloc under dictatorship.

P.S.: In its most pathologic forms, it was a theocracy, with Dear Leader as God. The comparison is a lot more accurate than it would seem at a cursory glance. The official doctrine was the religious dogma. There was a Paradise - the ideal "communist" society. There was salvation, albeit a collective one. There was confession (public mea culpa, which were mandatory). There was Mass - the dreaded communist meetings. They had Bible equivalents (the writings of Dear Leader) and saints (Marx, Lenin). Goes on and on like this.