This interpretation is so on point that even the franchise’s only canon example of a socialist polity (Gothrul’s Needle) is meet with Jakarta-style methods by local imperial authorities instead of what Nazis would do, which is drop Cyclonic torpedoes on a socialist Hive and kill everyone

They manage the Great Numerologia, a voting system that involves the hive’s eighty-eight million citizens in decision-making on a wide range of issues. This system is facilitated by spider-legged servitors controlled by a central ‘mother’ servitor. Despite its intent to ensure broad participation, the system is prone to manipulation by House Delaque and possibly Van Saar itself. However, the bureaucratic complexity often renders such efforts ineffective

As an aside, 40K Cybersyn is one of the funniest pieces of lore I’ve ever come across