This sounds like it boils down to "everyone I dislike is a Nazi."
The mirror image of this would be:
> Group A: “We should punch commies, we actively encourage punching commies” > Beehaw: “Hey! You can’t advocate for violence towards people!”
> Group A: “They’re commies, they deserve it”
Something along those lines. In this case not exactly “punching commies”, but advocating something “should happen to commies and their ilk”.
I know who John Brown is, but that history is completely immaterial to the topic at hand.