As I wrote in the P bass thread, I really like the simplicity of a P bass and its tone. However, the bass I use most is a Jazz style bass. It's a Sire V7. It maybe just this bass, but I find the neck about the best and most com I've ever played. The only negative is the inevitable hum if you only use one pick up. It's never a problem if I'm not going through a PA, but does rear its head whenever going direct to a desk.
I don't tend to use the active tone controls, but they're there if I want them.
Tone wise, I was actually very surprised when my wife recorded me at a gig to find out what I sounded like. The intro to one song was just me, and I sounded really woody and upright bass...I was using flatwounds which helped.
Perhaps it's just this Jazz bass, but versatile and just feels right.