The nonsense of branding Nazis as Socialists is ahistorical and easily controverted by evidence: How Hitler and Nazism were not Socialists, in their own words:
"Adolf Hitler proclaimed the following explanation for this program on the 13 April 1928:
Explanation
Regarding the false interpretations of Point 17 of the program of the NSDAP on the part of our opponents, the following definition is necessary:
"Since the NSDAP stands on the platform of private ownership it happens that the passage" gratuitous expropriation concerns only the creation of legal opportunities to expropriate if necessary, land which has been illegally acquired or is not administered from the view-point of the national welfare. This is directed primarily against the Jewish land-speculation companies." https://sourcebooks.fordham.edu/mod/25points.asp
Dumping regimes with economic policies as disparate as Cuba, China under Mao, the USSR under Lenin, Stalin, Khrushchev and Brezhnev and Nazi Germany into the same bucket stretches the definition of socialism into absurdity. In Hitler's Germany the stock exchange remained open and Thyssen, Krupp, IG Farben and BMW continued to pay dividends to shareholders. The German subsidiaries of ITT, Ford and GM produced war materiel for the Nazi government while paying dividends to their foreign shareholders via Swiss banks. Is that socialism to you?
Socialist expropriation applied only to Aryanizing Jewish-owned businesses.