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.

Your biggest opportunity probably lies under your own feet, in your current job, industry, education, experience or interests.
Brian Tracy

Beware of all enterprises that require new clothes.
Henry David Thoreau