As a 9 handicap now, and a 5 at my best, I am probably a below-average golfer by architect standards. (I make up for it by being well-spoken.)
Now I know that most of the better players here will insist that it's only proper for architects to be good players, because it's important for architects to understand how good players play. (Jack Nicklaus can explain this to you if you don't understand ... according to him, only a player of his caliber should be an architect.)
I believe there would have been many more good architects who weren't such great golfers, but that it hasn't happened because of the "good player bias". Really good players often just dismiss the opinions of others who aren't as good as they are; thus, an architect who isn't a good player can't get people to take him seriously even if he has great design talent. (And likewise, they will accept a golf pro as an architect just because he is a good player, whether or not he knows anything about design.)
Even as a decent golfer, I sometimes have had to be careful about playing with potential clients for fear of losing my credibility if I play badly. It's stupid, but it's true.