Fascism is the cloak used to conceal the dagger of ethnonationalism. To quote a memorable video introducing extremist ideologies by explaining what life in those societies is like [0], "In the fascist village, the village itself looks really bad. The villagers themselves are doing pretty bad. But at least they all know they're not one of those other types of villagers." It doesn't matter whether races exist; they will invent races, and then use racism to justify hatred and oppression.

You are thinking of fascist corporatism [1], indeed a much more pointed critique of the USA's political practice than traditional fascism. But also, "traditional fascism" goes only back as far as Fascist Italy, which practiced corporatism, so perhaps all fascism is corporatist.

[0] https://www.youtube.com/watch?v=Ymg5FsruGEk

[1] https://en.wikipedia.org/wiki/Corporatism#Fascist_corporatis...