I'm very surprised there are buyers willing to bid thousands for this car. It's not the BS description or the condition that makes me say that, it's the potential for a title disaster. This '62 had a VIN at one time. The tag may be gone from the column now, but that doesn't mean it was never there.
My guess is that one of the VIN derivative stampings on the frame is legible. If the new owner goes to register the car and the VIN comes up hot, the police will take it immediately. What will the buyer think of his low buck project car then? He'll have to sue the seller to recover any of his money because the last titled owner of this car will get it back for free.
It's also possible that this VIN-less '62 body is sitting on an earlier frame. If so, such a pile of parts will probably never have a legitimate 1962 VIN (or title) issued to it again.