It's not a question with a simple answer, if you're asking me. The Nazi party knew there was a widespread popular demand for socialist ideals and wanted to capitalize on them, but feared and hated the direction of most nationalist worker's movements. The brief rise and fall of the Frankfurt School and its association with the November Revolution and the unpopular governmemt that followed in its wake gave them the justification for many of their proposed reforms, and they used both elite scholarly work on socialist theory, and on the other end, more overt communist movements on the street, as "evidence" of Jewish conspiracy that needed to be expunged from a more correct, in their view, "national socialism". Did the Nazis identify as socialists? Yes. More so, in fact, than they identified as "Nazis". Were they "good socialists"? Not by the definition of most socialists today, that's certain. Should modern socialists study the rise of National Socialism and seriously consider where and when things went badly, badly wrong? Absolutely. Denying the complexity of history does not make its impact go away.