I have a PK set in my basswood 7; under gain the neck pickup is liquid, with a distinct edge, not dark but not too overly bright, while clean (especially using Fender-style amps) it's edgy and fat and clear. It does that Tesseract clean out of the box, as it were. It actually reminds me of the Duncan Jazz neck, if you can imagine that in a ceramic version!
Hard to say how well it'll match up to Mark's tone, but I will say that my immediate impression after watching his video was "well, Seymour Duncan makes Painkillers now, how about that!" ;)
On the other hand, I think a lot of PII was done on guitars with Aftermath sets (pretty sure the intro to All New Materials was done on an Aftermath neck - at the very least, there's a video of Misha playing it on that pickup.
My experience with the PK says it depends a lot on your guitar. If it's basswood, I'd actually say Aftermath; mahogany, PK; alder or ash, you could go either way, with the PK being the more aggressive of the two.