Although the Polymath can certainly handle those genres of music, it's by no means in the higher output portion of our humbucker range, sitting definitely in the medium output arena, as well as having a deliberately round and mellow low end feel which I don't think falls in line with the tight clear lows that you're describing. In fact, it sounds like a ceramic pickup will be a much better option for what you're asking for. Something like the Ragnarok would do a better job of giving you a stronger output, full, roaring mids and a tight response in the lows to keep those faster riffs clear and accurate. If you want a similar feel but a little more brightness in the highs and upper mids, the Unity would also be a great option.