I have both, a passive PJ5 with specially designed Seymour Duncan pickups and flats and an active 5 string Jazz with Sadowsky single coils and rounds. IMO the PJ sounded better at low volume, and was the bass I played the most during lockdown, but the Jazz, on a gig, has more dynamics.
After lockdown I've also decided that I prefer the PJ through my Aguilar TH500 and Super Compact, while the Jazz sounds better through my Aguilar AG700 and any combination of SC, BB2 and SM cabs.
I'm also dedicating basses to different genres, something which I've never done in the past. The blues and soul bands mostly get the PJ and everyone else gets the Jazz. Although that can change depending on the band line up and the room.
2 pickup basses can sound scooped if you have both pickups on full. I turn the bridge pickup down 10% or so, and the "scoop" goes away.