That is definitely very odd, and not a good position to be in, as it is not proactively helping you prevent this. Our OLB does something similar and is not connected to immediatley communicate with our core. So, we have until a certain time the next morning to cancel the transaction before it goes out if the branch (responsible for daily NSF working) determines they do not want it paid.
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Any opinions expressed are my own and do not necessarily reflect those of my employer.