Well, when you go through The Golf Course (Cornish & Whitten) you can see that very little new work or remodeling was done from the mid 30s and on.
You look at work by Bell, W. Gordon, Diddel, Robert Harris, Van Kleek/Stiles, Maxwell, Langford, Langford/Moreau, Tillinghast, DJ Ross, et al in The Golf Course.
There is very little work credited in mid 30s and on. You take out a few big cities like NYC, Philadelphia, Los Angeles, Chicago, and there was not much work.
You look at the bios for Mathews (Stiles &Van Kleek) and Wilson (Toomey& Flynn) and some, associated with well known firms, were dropping out to take golf course jobs.
While RTJ was a young man, he was involved with Thompson by 1930s. A scan of RTJ work in C&W, you can see that little work was undertaken by RTJ from 1936 through about 1946. A quick count is about 6 new courses and about 7 remodeling jobs over that span from 1935 to 1945. Not much. Looks like Link Hills in Greenville, Tennessee was his first course after WWII.
You also get a flavor from C&W that much of the work in this period was municipal / WPA work.
Sure there was work and a few new courses here and there, but by the early 30s, there was not much going on.