That's funny I never thought of the HD, or the MM to capture his tones. Those two pickups, both of which I have no experience with, seem like they would be a bit smooth for capturing his Back for the Attack tones? I can definitely see them working for his tones from mid 90s and on.
I have PKs in one of my guitars and it is close to capturing his tones (It definitely has the cut, and edge), but it is in a mahogany body; so the lows and lower mids are a little more pronounced than Maple or Ash. It would probably sound more like Lynch if the pickups were in an Ash or Maple body.
I have a new custom build coming in, that is going to be an Alder w/carved Maple top body, and a maple neck/fretboard. I've been wanting to try MM or HD, so I'll probably check out how they sound in that guitar (out of my guitars, it is probably the most comparable to a Kamikazi or something else he would play through)
Cheers!