I secondly don't believe this. My cousin did, what I thought was the impossible, and got a refund on her annual pass after already having it for a couple months. She just complained she didn't need it anymore or something.
I could believe this if you tried to do this via email or the phone. The call center CMs are poorly trained and follow the rule book. If you went into any actual park Guest Relations location, where they train their CMs to live in a "world of gray," as opposed to black & white, they'd have refunded you and probably given you a FP+ for the trouble.