I worked an auto theft unit for a couple of years during my LE career. I wouldn't touch a salvaged titled vehicle with a ten foot pole. Yes, you can watch TV shows where they take one, rebuild it and it's better than new. That's not the norm. No matter how much you think you're saving, you'll lose in the end. Either with insurance issues or resale of the vehicle.
There are vehicles that you may know exactly what happened to it and you could live with the damage and repair, but try and explain that to someone else a few years later when you're trying to sell it to someone who is questining why you're unloading it.