Yeah I've got a 50CL, and I'd call it anything BUT thick. I've also got a DAR Tuzzia. But are very clear, articulate amps, but the Tuzzia is what I would constitute as thick. When people refer to thickness, they generally mean saturation, which Pittbulls don't have a lot of. That bein said, I LOVE the Pittbull tone. Just don't think thick. Punchy, clear, gritty, yes.
Also, +1 to the Deliverance suggestion.