Joe,
I found another article saying AWT designed the course. It came form The Evening Post and is dated Wed. March 6, 1918.
The mention of the double dogleg (#17) appears in the article, as it did in the one you posted. The hole shows up in the 1924 aerial:
I'd say that's pretty good proof that AWT designed the course as shown in the aerial photo, but there are some questions.
The article mentioning Dunn as the architect appears about 2 1/2 years before AWT is mentioned.
The "Dunn" course was expected to open in the spring of 1916.
There are several differences between the diagrammed course and the 1924 aerial.
Peter Lees comes into into the picture 2 years after the projected spring 1916 opening of the "Dunn" course for the purpose of superintending improvement of the fairways and greens. Why?
Nowhere in the 1915 article does it state that the "Dunn" course was under construction, only that it would be ready for play by next spring, about 8 or 9 months after the article was written. Perhaps the expected progress wasn't made under Dunn, and the club changed their plans, brought in Tillie, and Lees followed.
The course that got built appears to be AWT's, but I'm not so sure that there isn't a prequel to the story.