Well, they definitely have an '80s tone, not EMG-ish at all, but they can also do '70s stuff, I guess the main '70s stuff that comes to mind is Judas Priest. Not especially Sabbathy, which is what a lot of people get SGs for. A Warpig set would be better for that (or Pig'90 if you had a P-90 model), as I got good Masters of Reality tones from my Warpig set in my Explorer (even though I think that guitar is too dark overall for those).
Compared to a Les Paul with Cold Sweats I guess it has less scoop (the mid hump of the SG fills that out) and is more 'focused' in the typical SG way.
My friend with an Emerald-equipped Les Paul prefers my Cold Sweat SG over his guitar, but then again he is a fan of Judas Priest, Saxon, etc.
I find that it can do a good job of most metal made in the '80s that used hotter pickups like the Dirty Fingers or the X2. It might not be exact but with a good tone pot you will get close. I rewired my SG with a '50s style harness, matched 500K CTS pots, 0.022uf PIO caps.
Basically I think the guitar is perfect for anything from Judas Priest to Celtic Frost.
I use my Nailbomb Explorer and Stockholm SG Junior for more hardcore/crossover '80s stuff.
I would put the RYs in the V, put the set from the V in the Tokai, and put Cold Sweats in the SG