I never have been happy with the Overdrive sound on the B2003 or the ASB & Klangbox.
The B2003 does sound excellent when I run it through my Rotary cabinet, but I am constantly trying to eliminate all hardware, and the virtual shit must at least get close.
So in my quest for perfection I tried every Distortion and Overdrive device I could find and the best solution was the G.O.S.T. Dynomic w/ the Saw's inserted, and routed to the Rotary cabinet.
But today I found an overlooked Gem that has some noise in it, but when playing along with Bass and Drum tracks it isn't heard, but the Decimator S does a fine job.