“….[Chaza]l say you should wear a hat like one that is normally worn when walking in the street or meeting with an important person.
There is something inherently contradictory in this statement. When you observe photos or artistic renderings of someone in the alte heim meeting with an adam chashuv, askan or melech, they almost always take OFF the hat they wore in the streets or when traveling. Even today in Congress, there is a requirment for both men and women to REMOVE thei hats out of respect for the institution. Why would you want to keep the hat you wore in the street (or in the field, or whatever) on when presenting yourself to melech malchei h’mlachim??