If we confine the discussion to tour pros, shot link data might help, with average distance from flag, and other stats to add to the 1.767 putts per green average. It it correct that the best players that week in putting are the ones we see on TV, and is skews our judgment of how good everyone is playing.
If stats were broken down even further, I think Tiger (and Jack, and top players before him) are better clutch putters than the others. I don't know if shot link breaks down putts by round position (i.e. last four holes) or by up one, down one, tied, kind of like game winning and game tying goals in hockey.
I think you would see the best players have higher clutch putt records even if their putting averages were similar. I wonder if Tiger putts as well when he is doomed to a 20th place finish as he does when in contention. Somehow, I doubt it, bringing his average back to the field. But his make rate probably goes way up in the clutch, while most golfers careers get derailed by failing in the clutch when it matters most.
However, to get it back on topic, its really multi faceted. Overall, I think the contoured greens would narrow the field, perhaps not identifying the best player that week.
Would Tiger rather have a contoured green or a flat green on the late holes of a tourney where he had to make the putt to take/keep the lead, assuming his nearest competitor was in his group and had a similar putt?
Would it depend on whether the competitor was a poor clutch putter (say Phil) or a good one (like Furyk)?
My guess is that if he was head to head with a poorer putter, he would prefer a flatter putt. With a great putter, maybe more contour, assuming he could handle it better?