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It sounds like there is a grand total $250k of FDIC insurance to cover deposits in the event of a bank failure. One pooled bank account with $250k of insurance. So, probably < 0.1% insured in the event of a problem with the bank. FDIC doesn't cover problems with the exchange.
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As you point out this covers bank failure, not exchange failure or hack. But note that this is still important for corporate clients in mitigating their already concentrated counterparty risk exposure to the few banks that'll do business with crypto companies (eg Silvergate).
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