I'm using a Japanese Jackson Dinky with an EMG TurboCharger (a 20dB active boost). I've swapped the original EMG HZ pickups for VHIIs and I was planning on removing the boost circuit as I never liked it with the EMGs - too noisy, no tone.
However.....
With the VHIIs it actually works like it should! Like stomping on a clean boost pedal, but it's built into your guitar. You get a bit more hiss/noise, just like you would with a decent pedal, but it works great. I don't use it that often as I prefer to use pedals, but it does the trick and it's very useable.
I would think that BKPs with their quality, clarity and minimal noise would work very well with the Clapton mid-boost circuit if that's your thing.