Bruce, You're assumption about handicapping is close enough for this question. Even closer, assume the handicap is derived by taking the best 10 of 20 rounds, averaging those 10 scores, and the scratch golfers ave. 72. The thirteen handicappers ave. 85.
These golfers are random, so you can only assume how consistent they might be. But I believe that the MORE consistent the hi handicappers are, the BETTER their chance of having fewer putts.
Thanks for your response.