I don't see how some of those are cheaper options.
The beauty of an onboard preamp is you can make changes to your tone on the fly. You can't do that with foot pedals or going back to your amp or racks.
In the end though, just play what you like. But there are benefits to active basses that a lot of people prefer. I like them both ways.
Basically since you are using an amplifier all basses are active, the only difference is where the preamp circuits are located. They can be in the bass (which people term an active bass) or in an outboard preamp, or built into the amp.
What I like about passive basses:
They don't add noise.
They have a certain tone that is nice.
They are simple.
They don't need batteries.
What I don't like about passive basses:
They don't drive long cables well which rolls off highs.
The "toy" tone control is all the EQ you have on the bass.
They have rather limited tonal range about the usual tone.
What I like about Active basses.
They have a large range of EQ available.
Things like a mid control on a Deluxe Jazz bass gives it tones no passive jazz has.
I like when they also have a passive mode so you get best of both worlds.
I like controls right on bass so you can change tone while playing.
I like the EQ on the bass so when you play through DI you don't loose all control of your tone.
What I don't like about active basses.
They add noise (usually hiss which is especially noticeable with treble up and cab with tweeter)
They take batteries which can and do fail.
They have more pots and crap to go bad.
Because circuits need to run from batteries they are much cheaper (and hence noisier than those in outboard preamps or the front end of your amp.
Both have their place.