I don't know about $4602, and even though the OP is not selling, but if it was to sell in an auction on on ebay and the listing was done up right with lots of detailed photos of the box and tools and an itemized accounting of everything really well with the lock installed and assuming the sets inside were complete and not engraved with owner's marks or missing (m)any pieces I could easily see the box and everything in it go well north of $1000. Especially so if you get a good bidding war going which wouldn't be surprising. Having an auction that ends on a Fri evening or Saturday during normal hours helps over times when people are more likely to be working / sleeping.
If a bidding war breaks out between collectors there's no telling what the price might end up at. $4602 wouldn't be totally out of the question, but would be pretty epic. I suspect it would never fetch half of that these days even under the most ideal conditions.
All that said, I suspect it might be fetch more overall in auctions of the box and sets individually rather than altogether.