Believe what you want. You are wrong. The term is "Chief of Staff of the Air Force." This is 28 years of Air Force experience telling you.
I understand what you are saying.
However, the writer (probably a civilian) doesn’t have your precision and experience.
In the context of the writer’s words, he’s correct from his viewpoint. There is a “commanding general” of the Air Force. His title is “Chief of Staff of the Air Force.”
Your statement about the 187th Air National Guard Wing is incorrect.