youd probably be surprised at what they can fix, and you probably would very leery at hanging onto some of the cars theyve fixed, even though im sure theyre perfectly safe.
as long as the frame metal isnt torn, broken or fatigued (and sometimes one or more of those can be worked with, depending on other factors) they can usually make it so new parts will fit and it will go straight down the road, i had an 85 ford f-150 4x4 and i t-boned a guy who was blazin by and it bent both frame ends so the entire front of the front end was pushed over about 8 or 10 inches, and the bumper another 4 or 5, youd swear the truck was crab walking down the road but, it drove fine and there was very little body parts damage ...we took it to a friends shop and i thought we'd have to strip it down to the frame (i did have the bumper off) and the guy says "nuh uh...leave it intact"...he chained it down to the floor in 4 or 5 spots and put a brace thing on it between the frame ends and one behind the front wheel and ran a chain way out front ....put a porta power (hydraulic ram, think: "jaws of life") on it, and sure as hell, pushed the entire thing almost perfectly straight, hood, fenders, grill and support, whole thing took about a half hour (but, i didnt really care, we took no measurments or checked anything, anywhere)...in fact, if i were to guess, id say he was using the hood more than anything as a guide, if yours needs it, they would just chain it down and porta power up the rear frame ends, very minor job, i would think. although you would want your classic checked carefully and brought exactly to spec, drop tops are a different breed, since theres no roof (which adds a rather surprising amount of strength, rigidity and square bracing) so, they have to be reinforced and strengthened in other ways
depends who you talk to as to defining "sprung"...i take it to mean any damage that needs fixing, some might say its a frame beyond repair