I probably don't watch as much basketball as you and I definitely don't know as much statistically as you, but as a Lakers fan I think it's a joke that you put Pau as number 6. Yes, I think he should get more shots on offense, but recently (which is what you're talking about according to your first post) he's been inconsistent and I think ever since Bynum came back he's been better offensively and more at ease getting less shots. As a second/third option he fits in great. He shouldn't get more shots than Kobe though (though I don't think anybody would disagree with you when you say kobe needs to take less shots). Having Bynum as a first-option instead of Kobe is a whole different story though, and I think that question will have more validity as time goes on and Bynum proves to be consistent.
I'm also not so sure how Pau does on the defensive end. I don't have such a great eye for defense, but Pau seems to struggle on pick and rolls and switch situations. His foot-work just becomes so awkward imo. Heck (I may wrong about this) but I think Phil Jackson even took Gasol out in last year's playoffs for crunch time in the 4th quarter because his defense was really lacking (though, his offensive performance could have also explained it). As a one-on-one defender I think he's great though.
I think he's more of a #15 player.
Also, regarding Kobe's defense, I thought it was pretty bad (relatively) last season but this season (maybe his knee feels better?) I think his one-on-one defense has really improved. I haven't been tracking him coming down the court like you have though. Honestly, I think on night's where he isn't "feeling it" he should just save most of his energy for defense, since I think he can really excel there and let Bynum/Gasol control the offense.
Also, I think Anthony might be a victim of your "defensive reputation" idea because the times I've watched him he seemed like he was at least average and probably better than average (again, I'm not great at determining how great a player is defensively).