I certainly wouldn’t disagree with that last.
On the issue of the similarity of Fascists and Communists, I think we are in agreement there as well. See the third quote on my FR profile page, the two paragraph one by Hayek.
The only point I am making is that the Fascists organized things to maintain the illusion of private ownership, while the Soviet and Sino Communists maintained no such illusion. And actually, after WWII a lot of businesses did return to their pre-Nazi and pre-Italian Fascist owners.
Whether you have the illusion or obversive forms of it doesn’t matter when the end result is the state controlling the capital and not the individual.
The only advantage of creating the illusion is to make it easier for the state to manage people because they are less likely to resist if they think they are free.