Oh, my ABI has a 4-position rotary switch.
I have an NG2, so I ordered my ABI passive, and didn't even bother checking if you can have an onboard preamp.
Easy to be confused.
The AB's options and specs have changed over the years. At one point all AB-1's were passive, with no neck markers and with only options being for finish and if it had a top (flamed maple) or not. Once it had a switch for a passive mid scoop termed the "BluEQube", but no option on parallel/series switching.
For a while there was an AB1.5 that was an exclusive for Jivesound (Jong's shop) that was a slight bump up...preamp and upgrade to quilted top if wanted.
The AB-2 when it started looked more like the AB-HS (heavy solid). Walnut or mahogany body bubinga neck/pommele bubinga topwood. Later on, they were chambered and ended with the stylized F-hole. These came standard at that time with 2 or 3 band preamps.
Z-basses have also been spec'ed with different levels of options at one point. My Z has options that are closer to what would have been possible on a Prima Artist of that era, soon after they trimmed back.
The real key is less the electronics and/or finishing options and more the body shape & neck. AB's have straight-pull headstocks. Z's and Prima's have composite angle tilt back headstocks. At one point Prima's bodies were very similar to Z bodies...but then you'll see the 'reverse horn' Prima arrive in the mid 2000's
The trademark of the AB is that single curve that makes the top and bottom horns unified rather than lumping about the neck joint, and the exposed neck heel that goes all the way to the neck pickup.
