I just read up some on these mail recovery centers. They are supposed to go out of their way to find the owners, then ship the article back to them if possible. Letters that are undeliverable and have no other way to contact someone, get shredded. "Stuff" gets auctioned except for contraband/illegal things they find.
With your inquiries to the PO, your obvious sticker on the saw, a grand total of three saws in this auctioned off lot, etc., I am not getting it on why you didn't get the saw back in the first place. Someone at the post office screwed up, or this was done delibarately. And they found it, but then wouldn't get it back to you, is this correct? And no insurance money either..man..more weirdness.
As to CSJ, ball in his court now what to do. He registered and chimed in so I would guess something will get worked out.
If it was me, I would still recontact the postal inspectors and find out exactly how a very easy to ID article, with the owner making inquiries on it, wound up being auctioned off. This still smells bad. I am not believing a "simple mistake" here. Even if the package sorting machine destroyed the label, or it fell off, etc., this saw obviously would have been extremely easy to find, I mean, day to day, how many "lost" chainsaws do they have floating around the atlanta facility?