Pffft. Not untrue, but also not a refutation.

Socialism, Fascism and Nazism are all Far-Authoritarian and Statist ideologies.

Which lies they tell to legitimate their drive for power is far less important than what they do once they have it.

And what they do is broadly the same, with Nazism falling half-way between Fascism and Stalinism, but all of them at the most authoritarian edge of what was possible at the time.