Do you mean faulty, logic, or faulty, supporting evidence? I think if something is plausible, but unsupported by evidence, the logic can be sound, but the supporting evidence faulty; but if something is implausible, then it would be the logic that was faulty and to me it seems like that crime and behavioral changes are caused by lead is certainly plausible, so I don’t think it’s a logical failure here. It may just be a failure of the evidence.
So.. How do you know the evidence is faulty, though? I mean, can you definitively prove it’s faulty? if you can’t, then you have to consider there’s a possibility that it’s causal?