The bank of amsterdam was already insolvent but most people didn't know it yet. Those with bank deposits that weren't directly redeemable (coin deposits and or bullion deposits that had lapsed) were most likely already purchasing bullion redemption receipts to withdraw metals and then spirit them away to hamburger or boe. This must have happened over some decades so as not cause a general panic - and already likely happening by 1763.
The fact that the French didn't raid the hamburger bank vaults before 1813 demonstrates that the credit it facilitated (indirectly) was of significance even during times of stress. The amsterdam bank by then was in total ruin. Even the boe had suspended redemption and would not resume until 1821. You might say that even under occupation, hamburger bank was the soundest bank in the world.