BKP's are great, and expensive...
I have 2 LP's right now and have sold 4 or 5. My favorite LP is an 81 Standard with Motor City Nasty Nasty pups. I have done the JB Jazz combination, various Distortions, no actives though.
I have ran them thru a variety of Marshals, JVM, DSL100, and like passives of any output. For blues capability, the higher output pups don't work as well to my ears.
For my old MKV I liked passives as well, I can use a clean boost to get more output, but I could not undo the compressed sound I heard with EMG's. I have not owned the Het Set that others love so no comment on those.
My Recto cranked could give a crap less what pup I'm using. I run it loud and proud like the angry can of bees it is. :lol: Just gets down to the flavor I want.
I have a Rhodes Gemini high gainer that is my favorite high gain amp. It does well with any pups, but to play what I like, which at times is a more dynamic Dire Straits type of bluesy vibe, I need lower out put pups. The uber gain amps, and availability of great boost pedals and noise gates, Decimator, have let me get away from actives.
With a boost and an EQ in the loop, it isn't too hard to make most any decent guitar with a mid range output pup sound like 20 other guitars.
YMMV.
Good luck on the tone quest!