I own a DSL and its a great amp but i dont think it would appeal to many on this board and it doesnt do the djent, messuggah, thing at all and there are better amps for modern metal.
What it does excell at though is older type metal like Iron Maiden (Iron Maiden used DSLs to record the last album and have used them live or rlse used the JMP-1 pre-amp into the DSLs poweramp) - basically any older Marshall type sounds - very early Metallica, Slayer, Rage Against the Machine etc...
It can do really heavy but wont sound like a 5150 etc... I got a Blackmore for the more modern stuff.
As for the TSL, i have never played one but have heard repeatedly that they arent as good as the DSL. I dont know why. Having said that, i heard one once with a local band and i thought it sound fine. Nothing spectacular but it could definitely hold its own