I voted Jazz only because it works best overall for the gig I'm in now. Also, I like the Jazz neck and overall playability. All that said, howerver, the P is an essential in the studio. Could never imagine having one available to track with.
I will have to disagree with the point that the P is a "one-trick pony" however, as between the tone pot and where in relation to the pick-up you play can create a roomful of tones, not to mention finger or pick-style options. No, definitely not a one-trick pony. No you won't want it for slap, but the tones can be very soulful. If you had to come the gig with JUST ONE BASS, the Precision might just be the thing you'd want to have. It will sit in the mix just right, no matter. Just my .02. Wow, guess maybe I should have voted for the Presision????