I really never liked this question and frankly think that common sense should make the answer obvious. That said, there are clearly mixed responses so that shows there is still confusion on what is part of the design and “architecture” and what is not. The fundamental problem is that the definition of “architecture” is by no means black and white. Is the Pacific Ocean next to the 8th hole at Pebble Beach “part of the architecture”? I am sure some here would say NO. Are the trees on the inside of the elbow hole (#12 at Pine Valley) “part of the architecture”? There are some here who would say NO. Is Mangrove Lake on the famous cape hole at Mid Ocean (#5) part of the architecture? There are some here who would say NO. Is the road on the 17th hole at The Old Course part of the architecture? There are some here who would say NO. Each of these features plays an integral part of each golf hole yet none of them were “built" by the architect.
The aspect of golf course design that makes the answer to me obvious is that golf is a game played mostly “in the air”. As much as I like “the ground game” the ball is in the air most of the time from tee to green. It also flies in the air over areas that might not even be within the property lines of the golf course (such as the carry over the Pacific Ocean on #8 at Pebble or at #5 at Mid Ocean. Since the ball travels in the air, this also forces the golfer to look up and look around at his/her surroundings. As such, the design of the golf course is much much more than simply what is on the ground and “on the property” and "in control" of the architect.
So to answer the question, a golf course design and its “architecture” includes the surrounding space, views, light, shadows, and ambience in its totally and as presented to the golfer in the design of his/her holes by the architect!