The fact that any bank would advertise "FDIC insured" is silly, as it conditions potential customers to look to the banks for this information. It would be better if folks were conditioned to consult only the FDIC themselves for this information.
I sense that it has something to do with lying in documents.
But hypothetically: if I write “no”. Proof of lying requires proof of terrorism. (At which point you did all the job of proving terorism, despite the document)