It's seem like an irrelevant question, since Beskar has admitted to being the 'detective' as well. Beskar specifically said that he did an investigation and found Ichigo guilty:
(emphasis added)
So, Beskar claims to be the detective and claims to have gotten a guilty result on Ichigo. Ichigo was lynched but the number of kills didn't drop. While there are other explanations for this, the strongest one is that Beskar is lying about being a detective.
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