I have a thin bodied Gibson "The Paul" 2 and while i won't say that this sustains as well as a standard Les Paul, it will sustain at least as well as an SG,because it has a slightly thicker body. I still love this cussed machine,neck (LP profile) is fine and the pups sound just as you'd expect.
One major point make sure you get it somewhere nearish (mine had a duff switch,a Gibson may need to go back to the shop), Gibson's QC is variable, make sure you inspect it thoroughly externally and also play it unplugged to check out it's natural sustain.
"'Ware the Quality Control, my son"
The studio is a fine guitar, and i think Les' original idea was to keep costs down by not putting any fancy bindings,inlays etc in it..in this respect some consider the studio "inferior".
Try a couple of studios against a couple of classics. Try a couple of Yamaha SBGS or a Gordon Smith if they have them too,they come very close to the LP sound..
Accuracy,you say? hmm interesting concept..