I've just given these clips another listen (with my GF, a fresh pair of ears is always insightful). I suspect that the PRS pickups, even if they are a bit dark as you you say, are quite high output. They certainly push much harder than the BKPs, and after the Black Dogs they are a big contrast in power.
The RYs are more a match in terms of power although their EQ is balanced differently.
If you listen to the RY clip before the PRS you find that the PRS pups lack the finesse, clarity and beauty that the RYs have.
It's these qualities that make BKPs so special, not just power monsters that sound flashy.
I'd also like to say that your playing on the PRS clip was amazing,:) :) :) I sure got excited listening to it, but I know I shouldn't confuse that with tone.
A guitar with pickups like that as stock would make anyone happy, me included. If you feel the need to change them though I think it could only be an even greater improvement. But pickups are just one part of the chain beginning with our fingers and ending with our ears.
Thank you for this lesson, I have learnt a lot
:D :D :D