I tend to see the Kings as falling under the Emperor, subservient to him.
Like the office building where I work. We have the Administrator, then under him fall the section heads. Head of Payroll, Head of HR, Head of Registration, etc.
The Emperor can see how to organize the chaos that is life. So he creates the rules accordingly so that things (should) work well together and everything functions in an orderly fashion. He is the authority, if you want to know why that rule is in place, he is the one to ask because he can tell you why.
The Kings, are the leaders in their suits. They take the rules that them Emperor has passed to them, and they interpret them according to their needs and then use them to create the order that the Emperor expects.
For example, the Emperor sends out a memo that says "every member of your dept. must work a full 8 hours a day. They get 1 hour for lunch, and 2 fifteen minute breaks daily."
The K/P would prob'ly interpret this exactly. You are on the clock for 8 hours a day, 1 hour for lunch and 2 - 15 minute breaks. And you if you are lax in observing this, the K/P would prob'ly write you up. As the more physical/money focused of the kings, he, more then any of them expects a days work for a days pay.
The King of Cups though.. may have a more relaxed view of it. As long as your work was done on time, it was OK if you clocked in 10 minutes late today, you were running late, he understands that and sympathizes. Or, if your lunch hour ran into 90 minutes instead of 60, because you had run into an old friend, it was ok, just as long as your assignments were finished on time, and being late isn't a regular thing.
If I were to get both the Emperor and a King in a personal reading, I would first look at wether I need to enforce some rules or maybe even relax or re-evalute them. They are both strong cards, and I could see them as reading that maybe I am being overwhelmed by too many rules in the "king" area, or maybe I need to create some new rules in teh area that the King is representing, becuase the chaos is overwhelming. It would depend on the question, spread and the other cards, of course, as to whether I interpreted the cards as representing people or occurances.
HB