I have no experience with BKP P90, and very few with P90s FWIW, but BKPs I've tried so far - vintage Tele, vintage-hot and contemporary Strat, vintage, vintage-hot and contemporary 'buckers - all cleaned up very nicely, and none of them was "too polite" in any way.
Now to be honest, I always rewire my guitars with decent pots (unless the stock ones are already ok), PIO caps, and gibson 50s style wiring. It won't (obviously) change the pup's own tone, but it makes a lot of difference wrt/ volume pots usability IMHO.