FWIW, I've seen this from two angles, both stories from years ago.
One was a nice '66 Catalina that was easy to save for the guy. He had a frame shop look it over, then bought the car back and followed the shop's advice as to what to do: pulled off the relevant sheetmetal, etc., then sent it for frame pulls and got it straightened back out. Once things were right framewise, he then took it to a good body shop for the rest of the work. He came out roughly even - even though the car now had a salvage title. But he would get his money back if he ever resold it because it was worth it from the intrinsic value of the car. He drove it for years, then sold it easily.
Second was my cheapskate brother-in-law. who of course tries to go cheap on everything. He thought he was really onto something of a gold mine and bought back my mother-in-law's totaled Chrysler K-car. 18,000 miles, $1200. Got the sheet metal straightened out (to the untrained eye), then... "Whul, why's it driving so funny?" Took it to a "budget alignment shop" where they got it to drive mostly straight, but told him there were frame problems, which he ignored. After all, it drives straight, right? The frame has nothing to do with safety, right? Tried to relicense it, and because of the title history of being in a wreck, they ran it through a full inspection. And, the State Patrol wouldn't give him a license. Instead he got a fix-it ticket; if he ever got stopped driving it, it would be serious money. NOW he was forced to go have it fixed the RIGHT way. $1900 of frame work later, it was right enough to license. He then tried for months to sell it. Finally he found somebody dumb enough (desperate enough) to buy it. Total outlay: somewhere over $4000 (he wouldn't say how much). Total return: $2500 (according to his kid). Time spent: eight months, not counting the four months it took him to sell it. Buyer after buyer, once they got a look at the salvage title, got up and walked out on him.
In any case, it'll be interesting to hear what your agent has to say.