Most of pickup theories are NOT logical, so in that sense, you're already off to a wrong start. Bear in mind that "logical" is what mainstream dating teaches. "Logical" doesn't work. Women operate on an illogical and irrational plane. Pickup taps into that side of women.
Logic isn't always obvious for everyone, nor is it always easy to follow. The way a group of molocules behaves is logical, but that logic isn't clear to those who havn't spent time studying it. For that matter, math is a perfectly logical science, yet when someone says 1 + 1 = 10, 2 + 2 = 5, or 2 + 2 = 10, most people are going to be a wee bit lost unless they are familiar with binary math, number theory, or terinary math.
On top of that, I've never been sold on the idea that women are all that diffrent from men. At the end of the day we have the same wants and needs each other has, and overall are the same people. The only diffrences come from social programming and personal experiences. Is there a diffrence? Yes. Is this diffrence as profound and basic as people believe? Not as far as I am aware. I don't recall where I read it (whether it was in a book or here on these forums), but somewhere someone mentioned that a PUA needed to do the things other men wouldn't or couldn't. I would imagine that would involve seeing women in a diffrent light, as well as affecting how the PUA behaves around them.