The logic is good as Huck explains and here's why.
Instead of crenshaw making all those 1 putts on flat greens, now he's having a lot more that burn the edge and is left with a 6-12 inch tap in, instead of a made putt.
And for me, sure instead of having that 12 inch tap in on a flat green, I have 3-4 footers left for the two putt. But a two putt is still a two putt whether its a 20 footer followed by a 1 footer, or a 20 footer followed by a 3.5 footer. And that is where the narrowing of the gap occurs. I haven't become a better putter...its just the severness of the greens are just enough to get him to narrowly miss putts he would normally make...but i'm still making those 2 putts, even if I lose 2 extra strokes due to a couple of extra 3 putts.
In essensce the main contention is... he is now incurring more 2 putts over 1 putts, than I am incurring 3 putts as opposed to 2 putts.