I've thought about this a bit and came up with a few theories.
First, they were playing on turf "mowed" by sheep and rabbits. The dunes closer to the sea likely weren't playable 500 years ago.
Second, I'm pretty sure those guys weren't looking for dramatic holes. They were batting featherie--or wooden--balls around with long-nose clubs.
Third, last spring my wife and i spent several days riding bikes around parts of Scotland, which put us in linksland east of Nairn, through Irvine Beach Park, along some undeveloped links north of Western Gailes down almost to Royal Troon.
What struck me was the fact that a lot of that ground "looked like golf." It first occurred riding along the beach adjacent to Culbin Forest a couple of miles east of Nairn Dunbar.
Then, while we were staying in Irvine, we rode both north to Ardrossan which took us past Bogside and south to Troon.
The Beach Park could be a golf course in a few days if you were willing to putt on 1860s greens.
But.... Looking at the higher, more dramatic dunes, I never got the same feeling.
I have a few pictures that I'll try to post in hopes that they'll convey the feeling.
BTW, on one of those rides, between Beach Park and Western Gailes I saw a piece of ground that made me think, "Omigod, if this makes me want to build a golf course what the hell would Doak or Crenshaw be thinking?"
K
Edit: Since that Daley fellow posted while I was typing, I have to say I agree completely.