There are a lot more variables involved besides just the configuration of the pups, and humbucker, split-P, single-coil-P, and J pups all sound different. A pair of humbuckers, with coil-tapping, and a preamp with and active/passive switch is probably the most versitile setup for a variety of sounds, but even then, there are some sounds that you probably can't quite nail.
That said, no matter how versitile the instrument is, I tend to always end up happiest with a simple P-bass in my hands. However, I have just added a G&L ASAT (dual HB) to my stable and am looking forward to exploring its possibilities.