Jeff, I don't know if someone will beat me to it, or not, but this weekend I'll have time to make a sound clip that will answer your question, possibly, of the difference between the PJ and JJ. I've got two NS-2 DW basses, one with PJ and the other with JJ. Both have the same strings. And, both have the TC in them. Both have their individual sound, and both are great in their own rights.
This might not be the exact comparison that you're looking for, because for the PJ setup the Lindy Fralin P pickup is +5% overwound, and the Lindy Fralin J pickup is +10% overwound. For the Lindy Fralin JJ setup, the Bridge pickup is +10% overwound, and the neck pickup is +5% overwound.