Any Nazis living in New Zealand would be at least 91 years old as Nazis are people who were a member of the National Socialist German Workers' Party between 1920 and 1945.

Anyone else is not a Nazi. But it is not uncommon for some people to label someone whose speech they dislike as a Nazi, as a way to avoid debating what they actually say. There is even an adage known as Godwin’s Law which says “As an online discussion grows longer, the probability of a comparison involving Hitler approaches.” Hardly any Nazis would still be capable of speaking, but if they could, yes they too have freedom of speech.