I loved the iAmp 800 for electric bass--to say it again, the EQ section is great, it's monstrous sounding, it rocks. It also works really quite well for string bass; had it been more portable, I wouldn't have given a second thought to using it as my one amplifier.
I (currently) love the series II Focus for string bass--I just set it flat (the EQ is pretty useless, it seems) and use the High Pass filter to adjust to the room. (How did I ever live before without a HP filter? It really is the magic bullet, for me at least). It's great! For bass guitar, well, it's nice, and loud, but I could see how people would think it's a bit sterile. I leave it flat (again) and use the bass's onboard active electronics to get the *oomph* I seek. No problems there.
I would definitely use the iAmp if the majority of my work was on BG, and I would not have anything to complain about with its UB response. I would definitely use the Focus if the majority of my work was on UB (which it is) and portability/clarity were considered to be of higher priority. I think it's easier to stick a Multi-Comp or tube pedal in the chain on the Focus for when you play BG than it would be to figure out a way to bypass the voicing of the iAmp to get that clean Acoustic Image tone going for the UB. But that may not be such an issue, since the iAmp sounds so nice with the UB anyway.
But these are really fine hairs to split...I love both of those amps, for both purposes; I honestly miss the iAmp when I play BG gigs with the Focus, and I wished for the Focus when I was schlepping a 25 pound amplifier in a two-space rack around to jazz gigs. It's good to have a backup anyway--get one of each!
PS For reference--the cabs used with both amps were a Wizzy and an Acme Low B2 Series II.