I just wanted a thank you. Both people working were just disinterested. Apparently, I got the "right" guitar but the serial number on the warehouse sheet was that of the Jimmy Page model. No one had any idea. I could have taken it to them for warranty work and the serial numbers would have...
I seen one in a pawn shop a few years ago. It was neat seeing a Strat with a batwing headstock. Looked good, actually. I should see if they still have it.
EDIT: A quick Kijiji search resulted in a few ads.
I'll give it back. I won't be in the city until the 24th so I'll keep her safe until then. I suspect this was just a mispick at the warehouse rather than an accidental switch in shipping. This isn't a rare occasion at warehouses. They probably won't even know it's missing until their next inventory.