Abso-fucking-lutely not. Nazis were not present during the German people re-education campaign following WWII and still the German people were able to be taught about the horrors of nazism quite well.
To shun and shame someone it does not have to be present during the discussion, you can just point at it from a distance and explain the reasons behind the social stigma from afar.
If you take away the nazis chances to promote their ideology in the “marketplace of ideas” you are not giving them more power, you are taking the little power they have away from them and you are forcing them to be enclosed in their safe space where they won’t have any possibility to reproduce. Once they will die out of exhaustion or old age no new generation will be left to keep on their fight.