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and falsely imply that they are being
antisemitic
No, in the majority of cases this is not a false implication but a documented fact. And even if they are not antisemites themselves those people are always happy to stand side-by-side with antisemites if those amplify their messaging, but out of the completely wrong reasons.
Pointing out that this idiocy only works with a massive amount of cognitive dissonance is nothing new…