I understand those pups are kinda warm sounding, but regarded rather good. If you are looking for absolutely most clarity and note separation, actives are the way to go IMO. I find all passive pups a little lacking in clarity department (except many single-coils but I prefer buckers). But I'd first check if bypassing tone controls/cap does anything to the sound. What do you add/cut with the EQ? Does it help any to adjust pickup height -lower the low end more, lower the mid polepieces a little?
Pretty impossible to recommend a pickup really for an unknown guitar...it can be a hit and miss affair...and by and large changing to similar type pickup IMO rarely makes very much difference.
Seymour Duncan has pretty extensive tone charts/example clips on their site.