The early L1500 were bridge placed, but this is not, its the sweet spot which is different. If you do a search for images on the web of this bass you need to compare it to the early models, its subtle but compare it to the volume knob (one closest to the neck). Mine is later and neck edge is in line with the knob, the first generation are further back, and yes its a bridge pup type sound with what you describe.
Remember the poles are wound different and very hot, so the most is not necessarily required. It is nice to flick in if you need a quick burst in the song, solo etc
Also look at the L1000 (Wunkay) its in the P bass position, but not being a split coil gives different sound.
When you look at JB5 and MJ5 bear in mind those Jazz pups are wound differently, the MJ is a new design and fully noise cancelling.
Its all so much fun, but complicated.
Ideally i buy one of every type!