EAs on a mission for their boss are a major pain in the behind, they tend to act as though their boss is the most important person in the universe, which inside the company they work for may well be the case, but they tend to project that well outside the company as well. They also tend to consume a disproportionate amount of time in others to save their precious boss a few minutes.
The main function of EAs for people that aren't all that important is to make them feel more important. "I'll have my EA contact your EA to set up a date for a five minute phone call".