You neglected to mention that they both have maple fretboards, too. Damn you righties!
I should disclose that if anyone would prefer the original stock pickups for the J bass, Patrick generously left them in my care a year or two ago. I still have them and they haven't been installed in anything, so they're available for the asking to the purchaser of the J (or, of course, to you, Patrick).
Immitation is the best form of flatery.