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Of course there wasn’t. Calling it like that was a marketing ploy to pull in leftist workers (see eg https://en.m.wikipedia.org/wiki/Nazi_Party). Fun part is that this trick still works, given how often it is used as evidence that “left-leaning people are the real nazis”.
Indeed, his rhetoric gave the people back their pride, he gave them infrastructure and a job and helped Germany from the ruins of WW1 back on its feet. All for a massive war effort (and much, much worse), as it turned out.
Orange Mussolini is just an awful grifter, in it for himself indeed.