"That's the way we've always done it" is the brand generally found on the worst possible banking decisions. My favorite response was, "Well, that's not the way we're doing it from now on."
The customer authorized all of the payments and letting him decide which ones to send back is the equivalent of allowing a stop payment without a fee or a written instruction. My apologies, but this is truly a ridiculous practice.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.