I think this is the key. A gun like the one Lee showed has provenance as a gun purchased by and for the Army and will be valued as such.

The document you describe appears to show a gun purchased commercially and just shipped to a military residence in an interesting place, with no provenance regarding the buyer and circumstances. So any added value would depend on a buyer agreeing that the destination justifies it.

We discussed a similar case some time ago on another forum. Someone had a surplus Walther pistol with some base registration papers from Guantanamo and thought he had something special. But the general collector reaction was “Meh, so a soldier bought the gun while stationed in Germany and then was reassigned to Cuba. If that floats your boat ... “