I was thinking about a P-bass to go with the passive Jazz that's been keeping me happy for a long while. My thinking was that it would be nice to have two basses that I'm happy to play for any occasions, but it would also be nice for them to be different from each other. While P's are nothing to sneeze at, I suppose it's easy to worry about having a bass that does pretty much one sound, minus the tone control.
The acquisition that solved this riddle for me was an active P/J and I'm happy to report that the honeymoon has been going for months!! While I don't suppose I needed the "active growl" that comes with the EMGs in my P/J, this bass honestly makes a couple of tones that I like (and actually use) a lot.
Even though my Jazz has two pickups, I pretty much only play it with both turned all the way up and the tone adjusted as I need it. Hard to say if either bass is more versatile, but if I was going to compare them to let's say brushes that were available to a painter, either one would be useful for almost anything. If you need an extra option for tones, consider a P/J.