Rich, it is entirely possible that the car was a customer order and when it came in without the Safe-T-Track, the buyer may have compelled the dealer to install the locking diff to replace the factory unit.
There is always the possibility that the dealer hoodwinked PMD into giving him a credit claiming the car had an open diff when it was locking all along. But I suspect that would have been hard to pull off and not a likely scenario.
Is it an original '64 center casting? Did the rear have the limited slip tag on the rear cover? Did it have the limited slip warning decal on the decklid?
Have you checked the stamping on the rear axle tube? Will read "P 3.23" if it originally housed an open diff, "P 3.23 L" if it housed a locking diff.
Not sure what you can do beyond these clues to know if the documents correctly reflect the factory axle.
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