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.

I've got the greatest job in the world. There's no other job in government where cause and effect is so tightly coupled where you can make a difference every day in so many different ways and in so many different people's lives. It's a great challenge.
Michael Bloomberg

A resume is an important tool, but it can't get you a job. Only people can do that. If you want your job search to be successful, concentrate on people and prepare your resume to suit their needs.