A great resume can get you invited to the penthouse, where your masterful interviewing techniques will lead to a great opportunity complete with a substantial raise and a covered parking spot with your name on it.
Executive search firms need a good resume from you, but they also must have a search assignment that matches your background before they can be of service. Headhunters do not market you. They find the best candidates for client job openings. Their clients are companies that pay their fee or retainer. Don't expect a headhunter to make you her number one marketing project. Conducting your search campaign isn't her job, it's yours.
It is easier to do a job right than to explain why you didn't
Martin Van Buren