I agree with Niall, St. Andrews has become something of a Disney World of golf. A statue of Old Tom Morris will be an amusement attraction with tourist and golfers waiting in line for a 5 sec photo op.
I usually run into Americans who are on a quick golf holiday in Scotland. Most get off the plane and hit the links within a few hours then play 36 holes everyday. There is a mad rush to play as many big name courses as possible, before the trip ends so you can brag to all your buddies. A statue of Old Tom would just be a check box on a golf trip to Scotland.
I was in St. Andrews for a week earlier this month. I had a few off days, so I just relaxed and didn't play golf. One day I was near the cathedral so I decided to stop by the Morris family's plot and Robertson's gravestone. The grounds of the cathedral were full of tourists, taking selfies and generic photos. As I made by way to the remote side of the grounds, I was the only person near the Morris family plot and Robertson's gravestone.Given all the golfers in St. Andrews in mid May, I expected at least a few golfer at the cathedral. There were none.