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.

You look for stars. You look for the makeup of artists who can have long lasting careers and who could be headliners.
Clive Davis

Nothing is particularly hard if you divide it into small jobs
Henry Ford