I ran mine that way and it wasn't overly noisy. But I didn't run the gain super high on the ADA. There is gain to spare and the mid gain settings are pretty quiet. Gotta run it in the low input....nice and FAT.
As far as nailing dudes tones....i'm sure there was a lot more to his sound than just the ADA.
Is there an amp that can do it on it's own? The higher wattage blackstars have a similar "High gain but not quite metal" vibe going on but they're a bit bleh in comparison, not glassy enough for want of a less pompous descriptor.