Maybe, but I was referencing that the notion of a substantive association between Nazis/fascists and socialism (or the left more generally) was never taken seriously by any significant group until the last couple of years, where the American Right decided that their existing pejorative labels were losing their sting and they needed to label everything they disagreed with “fascism” and seriously try to sell the connections; Jonah Goldberg's book Liberal Fascism was a notable point in this trend.
Hitler eventually had the last remaining "left wing" faction of the NSDAP (the Strasserists) arrested and/or murdered - this purge was a large part of the purpose of the Night of the Long Knives. But even the Strasserists, despite wanting to borrow some left wing economic policies were staunchly ultranationalist and anti-socialist.
Amusing factoid: Hitler honed his public speaking skills while working as a government mole in the socialist party.
It's corporatist, but not socialist (you can probably make an argument that non-libertarian socialism is also corporatist, but not vice versa.)
But, yeah, the cult of manichean capitalism tends to use “socialism” as the generic label for “opposed to capitalism”.