Precisely why as incredibly awesome as your typical Jackson neck through is, I'd only buy one with a mahogany body. Even with fat pups, I never could get the tone I desired out of the two I owned way back when. Put a Floyd on it, and it's even worse. Very precise, but thin in the grand scheme of things with its scale length, typical bridge, and typical woods...its very focused in the high mids, and little else. Bolt on versions fare a little better for "fatter/punchier" sound.
A Marshall, by nature is a middy sounding amp. Think of it as the "SG" of amps. Some are fatter than others, some thinner. But in general its a middy amp, with slight emphasis on high mids. Its not a thundering low end monster generally, nor pristine in the highs either like a Fender. Those areas are compensated for in pickup/wood/speaker selection.
Now combine a relatively narrow frequency focused guitar like a typical neck-thru Jackson, and a narrowly focused amp like a typical Marshall run through a typical Marshall cab with V30s or C75s....and what you get is a very narrow and thin sound in the mix.
Thats just my experience and no disrespect is meant towards any Jackson owners.
that said... Amps like the TSL/DSL with the "bass" boosts engaged, are not a typical sounding marshall, and are more along the lines of a MESA with british flavor. So they likely will work much better with your guitar than say a Plexi/MF/JMP/800/900 series amp.
