Just got done doing a little research, and it appears that scrambled eggs didn't come about in the army until after ww2. MacArthur was a Phillipine "Field Marshall" and generally did what he wanted.

Here's an excerpt from the 1943-1945 uniform regulation... there's no differentiation between CG and FG officers' service caps. https://www.ddayohio.us/pdfs/Officer-Enl-Nurse-WAC%20insignia%20-%201943-45.pdf

Also, found a pic of Hap Arnold with his 5 stars, and no scrambled eggs (pre USAF farts and darts as well)

Intellectual honesty is the most important character trait in human beings.