Actually, no - NAZI stands for "National Socialist German Workers Party" in German (Nationalsozialistische Deutsche Arbeiterpartei) - so why deliberately exclude the crucial "National Socialist" part that was always there?
As well, the association between socialism and the "workers" has been consistent worldwide, so that hardly breaks the Nazi concept away from socialism.
Leftists have labored long and hard to deny the link between socialism and Nazism, an astounding effort at all, given that Nazism IS socialism in it's truest form.
I for one think that link needs to remain as clear as possible.
The original name was the “German Workers Party” in 1919, they added the “National Socialist” afterwards.