The “Socialist” in the NSDAP is only a honeypot so they could claim ground and voters who leaned socialist without much thought (“I’m a mill worker like my father before me, we have always voted socialist. Buuut that National-Thing sounds nice”). Same with the “A” which stands for “Arbeiter” (Workers).

There’s the same with the conservative party (CDU = Christdemokratische Union, Christ-Democratic Union) today. Lots of old people say “I’m a christian and that party has a C for ‘Christianity’ in its name.” In fact, their regional party in Bavaria, the CSU is more conservative. And you have three guesses what their “S” is for.