I didn't realize the LB-100 has an overwound pickup. I thought they were the same as a regular P pickup. The G&L page about the LB-100 doesn't say anything about it being overwound.
And, actually, I DO think a Fender P (even rosewood) cuts through a mix better than pretty much anything else out there. I never fully appreciated it until I was at a show, in the very back of the room, and the bassist was playing a Fender P. I was listening to his playing and appreciating the fact that I could hear and distinguish every individual note he was playing. And then I realized that not only was that true, but it was true in spite of the fact that, objectively, his actual volume was significantly lower than the rest of the band's (a pretty rockin' blues band). To me, what I was hearing was what I now consider to be the very definition of cutting through a mix.
The very opposite of a lot of (non-P) basses I hear where the bass is loud - sometimes even louder than the rest of the band - and yet you can only ever get any idea of what the bass player is actually playing during the sections of a song where some or all of the rest of the band has dropped out. The rest of the time, you just hear a really low-pitched sound, so you know the bass is actually playing. You can't tell what notes the bassist is playing, or even when s/he changes from one note to another. That has never happened, that I can remember, when I was listening to somebody playing a P bass. Sometimes it is too quiet in the mix and I just can't hear it at all. But, when I can hear it, I can pretty much always hear the individual notes clearly.