Rickenbacker are consistently inconsistent. It is almost impossible to say either "Rickenbacker always did this" or "Rickenbacker never did this". You will find that one weird 4001 from 1979 that has some sort of weird trait or feature never seen before or since.
Rickenbacker necks vary a lot as well. My 4003 is from mid 2009. Somewhere in summer 2009 they started using two-piece central planks, which allowed them to skinny down the necks. My bass has a single plank, and therefore a chunky neck. My bass is also subtly folding around the neck pickup route under string tension!
Rickenbackers are passive, though some have been modified to be active. Alembic built a Rickenbacker pickup set, as did Bartolini, with the intention of running these pickups with a preamp. More typically you see Dimarzio pickups dropped into '70s Rickenbacker basses that have seen the modder's knife.
Rickenbacker did advertise some '80s basses as 'semi-active' for a brief spell. These had the pots and switch mounted to a PCB (as well as the output jack, which would worry me if you saw the construction), but this was marketing faff. They did make some sort of special 4003 quite recently with a matte black finish and the bridge pickup banged right down at the bridge, and this had a built in overdrive. Not sure if that meets the minimum criteria for 'active'.
The pickup covers aren't mandatory. They were included from the earliest 4000 basses. In the early basses the covers served an important purpose. The original 'horseshoe' bridge pickup was derived from a lap steel pickup with magnetically charged 'shoes' covering the strings. If you removed these shoes then the pickup would stop working.
These were replaced with the now standard 'Higain' pickup in the late '60s. This is a much more conventional single coil pickup, but it retains the chrome surround and convoluted height adjustment setup of the horseshoe pickup. A lot of wood is routed out of the bass to accommodate this pickup, even though the basic guts of it (and premise of it) is a fairly normal pickup coil sitting on top of a magnet.
The 'glo suffix is Rickenbacker marketing speak for any colour. Mapleglo is a natural finish, revealing the maple wood of the body and neck. Jetglo is a black finish (think Whitby jet) and Burgundyglo is the rich, claret colour that changes over the years from almost black to a deep red colour. The 'glo suffix is also used by fans to describe colours that don't grace the Rickenbacker catalog. As such Burgundyglo sometimes becomes 'Eggplantglo' depending on the shade. Glueglo is a subtly pejorative term to describe examples of early '70s mapleglo-finished basses where the glue holding the binding to the body has seeped into the surrounding wood and discoloured it.
If you don't like any of the above then the 4004 bass is a good option! It simplifies the pickup and electronic setup, Has no unnecessary routing into the body and has a modern Schaller bridge.