I am most definitely not wrong, but we're closer in agreement than you might realize, as many of your points are very much valid, though for slightly different reasons:
This is 100% correct, but balance (aka weight transfer) is still independent from which wheels are driven. It is instead a function of steering angle, for transferring weight between the two sides, and acceleration/braking to transfer the weight fore/aft. And while it's managed slightly differently for each, managing weight transfer is equally effective in all different types of final drive systems. As an example, I track my E30 (RWD), and my co-worker runs an MX3 (FWD). His car is slightly faster in general, but I HATE driving his car, because you need to trail-brake it like crazy going into the corner, and then I always have trouble getting the balance 'right' again for the exit, whereas since I'm used to it I can balance my E30 with ease. My first Auto-X car was in fact a naturally aspirated AWD Impreza (non-WRX) and it was acceptable, but mostly because of the suspension it doesn't hold a candle to how my E30 or that MX3 can get around a corner. My point here is that while different drive systems indeed handle differently, that's more a matter of preference and you can't really argue that one is 'better' than another, as they just need to be driven differently. This is a pretty good graphic for this, and I think that since AWD systems fall in as a compromise, not prone to over-steer like RWD but with less under-steer than FWD, that makes the feel appealing to many people, which is fine and I think in line with what you are saying:
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My original point though, which I still stand by, is that AWD is marketed as intrinsically better for cornering than 2WD, which is categorically untrue as it has no influence on the friction circle:
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where the greatest cornering force ('C') is achieved with there is zero torque, neither drive nor braking, applied to the wheel, and C is thus determined by the tire material, road surface, and the suspensions ability to maintain the area of the contact patch.
So I can agree that AWD cars handle 'differently,' and I absolutely respect that you may prefer that difference, but the physics says different /=/ better. My preference is RWD, but I too will refrain from arguing it's better, just what I like better! :D
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(see in this pic, my left front tire is so light it's not doing jack shit anything, and 98% of my right front tire is trying to push the car through the corner, and there's just not any more grip left for it to do anything else even if it wanted to! And yes I'm faster than/just passed that pokey S2000 back there!)