As you may know, some of these recorded authorizations are dubious, at best. But if you think it's clear that the customer authorized the draft, I believe you are left with a case of "buyer's remorse," which is no more refundable than it would be if the transaction had been completed by check.
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John S. Burnett
BankersOnline.com
Fighting for Compliance since 1976
Bankers' Threads User #8