[happytoexplain]

Why can't they just disagree with the analogy? After all, analogies are inherently a comparison of two different things. People are prone to reaching for analogies as essentially just an insulting oversimplification, by pointing to something Very Bad (frequently a dramatic historical horror) and simply declaring that it is equivalent to whatever they're criticizing. Part of the allure is the positive feedback back-patting that frequently comes with it, without adding anything else (e.g. your reply, and the "insanely apt" reply from a now-banned account).

Regardless, it's destructive to reasoned discourse to treat people like enemies ("cognitive dissonance" is being used as an insult here) when the only thing you know is that they disagreed with you.