First off, I don't know how I missed that delightful thread, GTWMA, but thanks for doing the gathering/calculations and linking to it. You are the best!
I stumbled upon a curious notion that may need some investigation. Basically, I was wondering if the mobility for "placing" changes across the different categories or if it is just proportional to the size of stats in the category. For example, is it easier to go from fifth to fourth place in HR's than it is in SB's, percentage-wise?
I don't know... just a thought. It would require a break-down of the average placing in each category. At first glance the differences seem nominal, but it would be interesting if it turned out to be more efficient to finish fourth in HR but first in SB, that would be some good info to know.