I almost hate to turn a box of squirrels loose, but it's a rainy Saturday here in Virginia, so here goes.
Here are two medium-scale Series basses, an '80, with the neck pickup offset by maybe a 1/2" (it's more like 5/8"...) and a '77 model with a clearly larger space between the end of the fingerboard and the neck pickup. (the brass trc is homemade... by me) I don't know how big this space is, but it's at least an inch and change. And it is
not unique, but common to its time.
Now, here are two Distillates. The first is an '81... neck pickup shoved way up to there. The '85 fretless though, waaaaay down towards the bridge. Those two basses sounded radically different. I think the pickup placement had a lot to do with it.
#77-954 is a Peruvian Walnut medium-scale Series I that belongs to a friend of mine on this forum. His has been modified to make it more slap-friendly.
The good news is; what you're looking for is out there. With every posted thread, clearly the bass you have isn't it, but you've only scratched the surface. Read. Look. Watch. It'll happen.
See... if you leave some peanuts and raisins, they'll run back in the box by themselves.