Here is the video review, more in-detail for Aguilar PJ Pickups set.
Aguilar's introduction video is kind of short for each product.
This pickup set has really forward midrange. The output of the P and the J seem to be well matched.
The P p/u is somewhat modern, very bright compare to traditional P p/u. It gives me wider range of tone.
The J pickup is very mid forward which is very useful for finger style solo or any fills.
When both pickups are Full ON sound very jazz bass alike.
If you're looking for "vintage P sound" this might work but I'd find those that are aimed to be in the "vintage sound" category.
Hope my review helps you decide
All the best