There is a certain connection that has to happen between a coach and her client to make the whole thing maximally effective. The great coaching relationships have always had this connected quality. Ted Sorenson was John F. Kennedy's Chief of Staff and primary speechwriter. He had the U. S. President's trust, was a communication expert with a broad perspective, and of course, was available. Each of these pairs agree on basic values, and they have committed goals for the person being coached.
Coaches have their client's best interest as a first priority.
If your coach wants all of the headlines, find other candidates. If your potential coach suggests that you meet a couple of times a month and review your performance, forget it. Imagine Glenn Hoddle only talking to UK World Cup team on the phone, skipping practices and games, and then meeting with them to get a report on how they did. The coach can see things from a different point of view, and accordingly, has to be at the practices and at the games. Metaphorically, you are inside of your own leadership box, and the instructions for getting out of the box are written on the outside.