I have a problem with PJs. I own/have owned four. On every one of them, I love the P, and the J sounds good, too, but it's almost always significantly weaker (meaning less perceived volume), than the P pickup.
Is this all in the design? Does the combination of a higher output of the P pickup combined with its position where the string vibrates more make it close to impossible to make the J pickuo compete?
I love the flexibility of having two pickups, but would love it even more if they were a better match.
I'm not really sure if the P are always actually and significantly louder (I don't see much difference on my input VU, for example) or if it is, as you suggest, more to do with position and having an inherently fuller tone makes them seem so against the J, but I find in a VVT arrangement is really doesn't matter that much - you can just use the volume controls to balance in the blend, knowing that you have a bit in the tank if you need it. It can get a bit fiddly but perhaps fiddly is the price of flexibility? With a pickup selector and single volume control as I used to have the matching is critical and, if wrong, a real PITA, hence changing to VVT.