I really don't care what's under the hood. If the bass feels right and sounds good, that's what comes first for me.
I would say I want all passive, or if it's an 'active' bass, I want a genuine, low impedance, powered pickups with a bespoke tone circuit.
There's plenty of great passive pickups out there, I've got some axes like that, and the relative simplicity is nice.
I don't miss boost/cut on the bass, and since there's LOTS of knobs back there on the amp, no problem.
If I'm going active, I want the 'real thing'; i.e., genuine low impedance pickups (like EMG or Alembic, to name two) where the pickups lack enough output to go straight into an amp on their own. This is primarily due to far fewer turns of wire in the pickups, requiring power and a preamp to boost the pickups to the right output. For me, this offers the advantages of a generally more hi-fi tone, you can quit worrying about strong pickups dampening the string vibrations and adjust for tone as close or as far away as you like. The EMG's with those preamps actually inside the pickup shell eliminate any need for shielding a lot of times, and since they're internally grounded, you can skip grounding to the bridge and any worries of electrocution face to the mic on a crappy stage. Connect to any of their control networks, you're good. You can design a tone into these internal preamps as well, as EMG does, or leave them brutally honest like Alembic.
I'm generally not a fan of traditional passive pickups hooked up to powered preamps, and this passes for 'active electronics' to cats that don't know the difference. The dead giveaway to this setup is that 'passive/active' switch, although there are setups like this that leave that out. I will say it can work if the builder specs and includes a good pickup and electonics package, like Yamaha in the current 7-series BB's.
Adding in a preamp later as a user mod to the original pickups sometimes works as a good match, and sometimes, they just don't. Just like we don't use high-impedance microphones as the board also boosts all the noise they make, this can also happen with pickups that just weren't ready to have every bit of their sonic 'character' amplified. You would NOT want to put active tone controls behind Gibson P90's ! !
So I prefer a real active setup, and could easily play EMG axes from now on, to me I like the advantages, much less the Alembic packages. On the other hand, I have a traditional Jazz with Fender Yosemites and regular wiring, and I enjoy it as well.
I'm still amazed how much anxiety a 9v battery can cause in grown men. I ran active basses only for years, and every Christmas/new Years and every 4th of July, they got changed, and I never once had a problem. This is simply a non-issue for any working pro who's also careful to take care of good cables, pay for or make proper setups to their instrument, and all the things you do in the pits before the race to be sure you've covered everything. Plus, if all else fails for your lazy, forgetful self, you can always keep a couple in your gig bag.
But after it's all said and done, regardless, if it sounds good, I'll take it: I don't care what's under the hood.