NAZI part was 100% a socialist political party. That’s why they hated and brawled with the Communists so much. They were fighting over the same deluded supporters.
The only thing “right wing” about Nazi Germany was its hijacking of the traditional symbols and institutions of German patriotism and nationalism to camouflage its systematic destruction of everything noble decent and great in the country.
Of course at a Nazi party rally they wouldn’t have fired a stagehand for wearing an “SS Hindenburg” hat.....
They might have wondered at the SS designation, which stands for 'Steam Ship' in English. Hindenburg was an LZ, or Luftschiff Zeppelin- specifically LZ-129.
Other such handy nautically-themed prefixes:
SS- Steam Ship
RMS-Royal Mail Ship or Steamship, such as 'RMS Titanic'
USS- United States Ship- Ship of the US Navy
HMS- His/Her Majesty's Ship- Ship of the Royal Navy
/pedantic history-geek mode, sorry