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It depends on what you mean by fascist" and when they took over. The Nazis exterminated much of the aristocracy and siezed their property. They also took control of businesses and siezed assets from enemies. All fascist do this. To claim that this is mere gangsterism misses the point. The Party is the state, so it is nationalization.
Fascists taking over after communists do not restore the old order. They create a new order, where religion is a tool of the state and the party. Corporations are controlled buy the state and party.

he Nazis exterminated much of the aristocracy and siezed their property.

Nonsense. Most of the aristocracy got along quite well under the Nazis. There were no mass killings of them at all. Only those who openly opposed the Nazis had any trouble at all.

That is, BTW, a major difference between Nazis/fascists and commies.

If you weren't unfortunate enough to be a member of one of the Nazi's scapegoat groups, and you didn't openly oppose them, they mostly left you alone.

Commies, OTOH, were obsessive about forcing everybody to openly support them.

Example: Most if not perhaps all of those the KGB and its precursors murdered were forced to sign confessions admitting the justice of their own execution. The victims knew these confessions were false, their torturers knew they were false, and the vast majority of those confession would never be seen by anybody. Yet the commies were obsessive about getting them.

Nazis didn't fool around with any of that. They knew who their enemies were and they killed them, but they didn't have weird compulsions to make their victims agree that their murder was just.

The Nazis exterminated much of the aristocracy and siezed their property.

They did no such thing. The Nazis restored properties to many aristocratic families that had been lost under the Weimar Republic.

The only aristocrats killed or persecuted by the Nazis were the small minority who actively and openly opposed the regime (and most did not, because the alternative of Communism or Social Democracy would have meant a complete surrender of their hereditary holdings).