A distinction.
A neo-nazi lives in his mother’s basement with his collection of replica SS daggers and dreams his dreams.
A nazi can show a direct intellectual and, in many cases, a direct biological connection with the real, genuine, Jew-killing article.
The first is a possible danger, certainly to be watched, but probably pretty harmless.
The second is alive and well in Ukraine and has lots of guns and opportunities.
When the first meets the second we’ve all got big problems.