Tom,
When I asked for detailed putting strategy, I was thinking in terms of looking at how each putt might go. I said I thought of contours in terms of the approach shots, and your detailed explanation above suggests the same.
Your last paragraph suggests (and I agree) that some people put too much a premium on a first putt being makeable from anywhere, which I don't think has to be the case, at least all the time.
On the other hand, If the green contours tend to defeat any attempt at birdie, in general, it seems to defeat strategic intent, no? I also agree a green is too wild if two putts in not reasonably expected. It would seem to put the emphasis on firing as close to the pin at all costs for birdie, rather than intelligent placement on some portion of the green.
I know Fazio takes great care in most of his greens. If there is a large hump, there is a flat area next to it so a putt will stop. If its all gently rolling, there may be a bit more roll, etc. A few of each might seem to be in order!