In the marine insurance world the term is constructive total loss. When the cost of the repairs, surveys before and after the work and the cost of yard storage while it is worked on (this is a big one because the yards will often quote more to the insurance companies then they would to you or I) is more than 85% of the estimated value then they declare it a loss. The good thing is this type of salvage title is easiest to get removed back to a standard title. Typically a survey with the report sent to the insurance company wil do it. Sometimes they don't even bother putting a salvage title on when they know the boat can be repaired and is likely to get purchased. I did some work with salvage companies following Irma and Maria. I learned a lot about how these companies operate after those storms.
I saw a number of older boats that still worked, mast, engine, sails, etc. that were deemed losses that were being given away for free. They would bundle a 56 Lagoon with 2-3 older boats (Morgan OI, Whitby, anything more than 15 years old that wasn't a catamaran). The salvage companies would buy the bundle to get the Lagoon and then start giving away the monohulls. The boats they kept would get loaded onto a transport ship and go to Florida, Antiqua or Europe. I turned down at least 10 free boats, several Morgans, 2 Bavaria, a Beneteau and a Jenneau 56 I could have had for $5k with no mast but no other damage (engine, genset, AC all ran). But it was insane prices for the 3 yards that were open, like around $10K a month for new boats. Add the price gouging on epoxy, fiberglass, rigging, etc. and you couldn't make a real profit on a free boat. A lot of those boats are now abandoned with the yards suing people for owed fees. There have been rumors that the yards are working on a plan to crush the abandoned boats to get their space back. Lots of people bought salvage boats with dreams of sailing them and have only ended up with less money to show for it.
But that's the Caribbean. I would buy a constructive total loss in the States if the deal was right. I used to watch the different sites and almost bought a Catalina 400 that had a fire in the aft berth for $45k. All cosmetic.
Good luck with the boat!