Well, you forget, a truly clever witch can deflect the entire shotgun approach with a flurry of reds that will avoid excluding as many people as possible while making it appear that the red has made it impossible for every single person to be the culprit. Indeed, "x is the culprit" alone might be insufficient, because the witch side can pull out the one thing they were not involved in and say "Aha, but x didn't do y!"
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