I doubt that a single scope would be something the navy would track as missing unless it was part of a sting and maybe the seller of this scope was being investigated for much more than just a scope.
I was in the US navy from 1968 to1972 most of the time aboard an aircraft carrier. Each type of airplane was in a semi-autonomous group that was only assigned to the ship for a single deployment. At the beginning of a deployment, the air wing squadrons got all new tools, parts test equipment and whatever they wanted and loaded it all aboard so as to not have to ship it halfway across the globe. Those of us that kept the ship running, what was called the engineering department, had to scrounge what we could and had limited budgets to buy things we might need. But there were lots of places to hoard stuff in such a big ship and hopefully a predecessor had stashed some good items out of sight of the squeaky clean and squared away ranks.
When the ship was headed back to the US after a deployment, the aircraft were flown off the ship and sent to various naval air stations around the US and the support people packed up whatever support equipment to be shipped to where the planes were going. A couple of days before the ship was scheduled to reach port, tons and tons of perfectly good tools, parts etc. were dumped overboard because they didn’t want to bother with it.
During the first deployment, I found out making friends with the air-wing maintenance people could pay big dividends in intercepting tools to be thrown overboard at the end of a deployment. (It was amazing what a bottle of booze would buy on a dry ship that had been at sea for many weeks.) Nobody seemed to track any of this stuff. I would only assume that when an air-wing would be assigned to a ship from a naval air base, they would just leave tons of stuff behind.