Love my 26x2.0 BAs. I've had a couple recent surprise pothole deep-drops and I am sure they had a role in keeping me going. I have kept them ~70 psi (top of the range). If I were braver I would go lower I suppose.
They are part of the weight of my 37# (see bike weight thread) bike, percentagewise I think they're not much more of the total than any other tires would be that are tough enough and reliable enough for where I take them, so I don't really feel any handicap at all from them.
I wound up choosing my next bike in large part for clearance for 2.0s I really like them a lot for my environment.