Is the mule an all rounder to the les Paul like the Irish tours are to the strat?
After all I'm sure Sykes recorded with a custom les Paul aka full mahogany with no maple cap.
So a mule with a mid boost pedal (ts) into a boogie style amp will get me there?
Or do I specifically need cold sweats?
I'd like something that can also pull off the modern AOR sound like TOTO, BOSTON etc
Maybe I'm looking for an all rounder?! Confused now 
wrong info about his les paul
he had a post-75 norlin era les paul custom, which actually means 3 piece maple top, pancake mahogany body and a 3 piece maple neck with ebony boards
so it's a naturally middy and spanky sound, and not some darkish smooth voiced guitar
I don't think the cold sweat sounds like him, despite of the name
it has a much sharper, more articulate and a lot less compressed sound
for the Sykes classic tones, I'd get a miracle man or ceramic nailbomb
perhaps a painkiller
but a rebel yell or holy diver should deliver more versatility and better cleans
I don't think you're looking for vintage low output models