Can't help much with the pickups and music style - I'm more of a blues, pop, and old school rock kinda guy...
But I can say that (in my experience, anyway) BKPs make just as much difference with kit like PODs as they do with real rigs at gig volumes.
Years ago I gigged a lot with valve amps. Over the last ten years or so I've come back to music and have been noodling at home, recording, etc. Over those ten years I've been using various Line 6 stuff, Vox modelling stuff, and a couple of small valve amps. Right now I'm using a Yamaha THR10 (a miniscule practice amp that uses modelling - best "living room" solution I've come across so far).
When I started getting interested in BKPs years back, I was worried that spending that much on pickups in cheap guitars going through a modellor and cr@ppy studio monitors was a little, er, daft... I was using a POD 2.0 at that time, btw.
I'm really glad I decided not to be worried about it. HUGE difference when I started putting BKPs into guitars... unbelievable difference, so much more tonal possibility opened up from the same guitar. What I've found is that this increased tonal possibility is, if anything, more valuable when using modellors than when using the amps they're impersonating. In my experience, get a decent amp (in the ballpark that you're looking for) turn it up to gig volumes, then most reasonable pickups are going to give you a sound you can get quite happy with. Yes, I've found BKPs can put that bigger smile on your face in that situation... But in the modellor situation, the difference seems to be bigger... I can go from "sorry about my naff rig" sound with stock pups to "IN YOUR FACE, LOSERS!!" sound (and playing) when I'm using exactly the same guitar and rig but with BKPs.
I'm really not convinced I'd use Line 6 or whatever in a live gig situation (I could live with it, though). But if you're not gigging, and you need a bunch of amp flavours, without killing the neighbours, even the lowly POD 2.0 is a mighty powerful beast (I've never got rid of mine, it's not my favourite, but in some situations it's the one that does the job). I personally do not believe you need to spend loads on the amp end of things if a tool like that does the job for you.
Once you've got the "amp rig" that does the job you need, high-end pickups do make a difference, no matter what your rig might be.
(Of course, none of us are ever entirely happy that any part of our kit is doing exactly what we want, that's why we keep searching for more, different, and better stuff

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