In my experience owning two Alembics, and several axes with real low impedance EMG's, they are utterly clean, little if any noise, and tons of headroom. Loved 'em, ultimate clean tone. As far as their relative scarcity among all the choices out there, I'd chalk it up to not everyone is ready to do the design and production to do them right in light of the return they think they'll see.
But . . . . . if you read all the 'pedal threads' around here, a lot of guys are now interested in varying amounts of 'dirt' or distortion, so like all fashions and trends in players and instruments, I'd posit that super clean is not that important, and 'clean enough' that can run thru a pedal to a desired distortion may be the new norm.
In that climate, I see lots of basses with the very common setup of passive (or 'high' impedance) pickups with an active tone network. I think this offers several cost advantages for the builders: Only one series of pickups you can use in a totally passive setup, or the same pickups with an active output for your bigger ticket pieces. Of course, the ad copy is all over the place: 'Active pickups!', 'Powerful pickups with active tone control', etc.
Pickups (and the accompanying circuitry) is subject to market trends and buyer trends, so we see now more of a swing back to passive pickups generally.
For myself, Rob Turner's original idea of the classic low-impedance coil + preamp built into the shell is brilliant: It's already internally grounded, so you no longer need that ground wire to the bridge (now it's far harder to get bit by a mic on a stage with iffy-electric wiring and who knows where or how many grounds there are). The gain structure is totally encased and shielded in the pickup shell, so with proper soldering (or their trick plug in conections), you can install them in basically an unshielded body. And they're usually as quiet as a tomb, always a consideration for me. Go back to a passive pickup + powered tone network in a shoddy installation, and guess what? The tone network may amplify noise and hum from the high-impedance pickups. I'd just as soon skip all that.
But guys are moving away from that, want a little grit to their tone, and hey, I'm all for having whatever works for you. I just always preferred to keep that grit and my tone as far apart as possible.
I am continually dumbfounded by the many 'If I go to active pickups, what . . . . ' come up here on TB, and how many guys seem to think changing a 9v battery 2 or 3 times a year is somehow a deal breaker, when the great majority of the time on most axes, it takes about 30 seconds to do it.