Yes.
I just bought my second salvage title car. The key is, it wasn't new, it was 13 years old when it was totaled. That brought the value of the car way down, and minimal damage totaled it. Here's the before and after of the damage. As you can see, the only non bolt on part that was damaged was a little bit around the edge of the trunk lid, and that's all hidden when the trunk is closed, so you can't tell it was hit. The guy who bought it probably payed less than $3000 for the car even after all the Copart fees, and I bought it for $5000.
FWIW, Copart is starting to have a lot more repos and hail damaged cars that are going for dirt cheap. Low to no damage.
Apparently it is big business to buy American salvage title cars and ship them to eastern Europe. With this comes lots of websites who will copy the Copart or IAA photos and leave them online long after the auction is over. It wasn't hard to find the pre-repair photos of my car just by googling the vin, or going to a site like en.bidfax.info and entering the vin there. My car went through a Copart auction over a year ago and the photos are still online. It's an easy way to look up the car before repair if the seller won't share the photos with you.