I like your last paragraph. I'll accept that it begins with the coach, but it doesn't end necessarily with the coach...that is unless you believe the coach can never be close to another coach for desirability mandating something else sway the decision. That is my point. I do not think a player selects a coach without other considerations. Perhaps we don't disagree on that? I thought we didn't, but now it seems we may since you said it ends with the coach. If I'm searching for a job one potential boss may be initially liked more than another, but I'm going to weigh proximity, pay, benefits and so forth. Together all the pieces may "add up" to more than the single biggest determinant.
I started to read this book a couple of years ago and dropped in for a future time due to an insufficient background and not enough time to read slowly.