Maybe everything to be said on this topic has already been said?
3 of my basses are a P5, a J5 and a PJ5. The B is great on all of them. The one I tend to favor and find most versatile is the PJ5. Though they have their uses, I've never really made my peace with straight Jazz basses in general. To my ears, the P/J gets that P sound that I love, and dialing in some J helps to make it punch more when needed. My guess is that having something with a Bridge pickup will add to perceived 'clarity' (relative term).
If looking at VM's, you might oughtta take a gander at that thar Jaguar 5 string.