Some people say that the CS does not sound especially like Sykes, at least in their guitar. That said I haven't read much in terms of opinions on this from people who have actually used it in a Les Paul!
it's just that the dirty fingers is way dirtier, middier and also darker than a cold sweat
the cold sweat has a very focused and sharp tone, more like Nuno, Dimebag Darrell and Wolf Hoffmann (Accept) sound around the 80's
even the miracle man sounds way closer to Sykes, in my opinion, despite of having a more modern voicing
my first bet would be the ceramic nailbomb for the thin lizzy and whitesnake stuff and the alnico nailbomb for the early blue murder stuff
I'd also expect the new juggernaut model to work for that, but I still gotta hear more raw clips