Reg E states that it isn't an unauthorized transaction if the consumer benefited from it (1005.2(m)). So if they received the merchandise, I'd say the phone call confirming the customer's deliver of product is sufficient reason to deny a claim.
IMO - if the consumer admitted they didn't read the contract that they AGREED to, I'd also say it doesn't matter that they didn't know they'd continue getting charged, they agreed to it.