listening to the P comparison is fascinating in how similar they all came out. I've tried them all and noticed, at least in a live setting or demoing in a room, a good amount of difference between some of these, but it makes me wonder how much of it is purely from the body and neck woods / neck joint / bridge, and so on.
With the Precision pups, I always found the Nordstrand to give the best solo tone, but in the mix, comparatively it's a tiny bit scooped compared to more traditional pups. Totally workable, but a noticeable difference. The Lollar sounds vintage, but never quite hits my sweet spot... played quite a few of these on Nash basses, and never found one that spoke to me. The Duncan nails the vintage p tone in my mind, and its what i'm using in my custom relic at the moment... nails the vintage sound and sounds full and sweet to the ear. The most interesting thing here, is the Dimarzio... in person it has a totally different character than the others, at least when I've played them in Nash basses. I've done direct A/B comparisons with the Lollar and found the output and tonality to be completely different (the dimarzio being much hotter, more low end and a different character to the highs).
Thanks for posting this, i'm most interested in seeing the jazz differences as I have much less experience with those.