The KK is one misunderstood amp, no good demos and those who have compared it to a CCV (which is said to be its model of origin, which really isnt tho) suggested the Cameron was just much better sounding.
So yeah, maybe it's just a not so great model.
Imho Blackstar should focus more clean sounds and light crunch. I've played more than a few Blackstar amps (various models) and most of 'em sounded from very fine to great while clean, and mostly generic, muddy, polished and polite with OD engaged. It's a fine brand, their upper end cabs are...