Most confounding and anti-strategic to me is to have the greens racing fast where a run up shot is dictated, but to have the aproach area not playing firm and fast, so the dictated approach is nearly impossible to pull off.
Once on the greens, I don't think it is less strategic to have them racing, but I do think it can be less fun. Count me in the Hendren camp of those that don't mind "hitting" a putt every now and then.
There's a fine line between being too slow to take advantage of approach shots rolling off the internal contouring and being too fast to enjoy putting. The courses with fantastic putting surfaces that pull off this balance impress me the most. Most recently, Kingsley Club blew me away with a perfect balance. I've always found this to be true at Pacific Dunes as well.