It might. You can tell them to keep calling back until they get the answer they want. Worst case they call, are told no, and you don't go to the ticket booth only to be turned away. Before the reusable cards they used to offer 1 admission without your AP per AP year, but 1. I'm not sure they do that anymore and 2. if need a parent for a replacement, I assume you need a parent for that too. Also, you can't get FPs when they do the except, that still requires the actual AP.
One other thing. My AP card had to be reprinted when the barcode couldn't be scanned and when I got the new one the PhotoPass got replaced and my older, unexpired pictures were lost. If he has Signature, make sure he downloads all of his pics before you replace it.