Is this really the best way to find a CEO?

Indeed found this job for me...      Do the best CEOs really job search on Monster?  I always figured CEOs should be passionate people already working in or around the space of your company, or with an obvious public track record of success.  Seems to me paying $300 to post a job on Monster for an early stage tech CEO is a good experiment in adverse selection.

Executive Officer - New York City, NY

Ohio based early stage technology based company
with... services in a startup/entrepreneurial venture, the confidence to lead in
a high-tech company, and the... (From Monster)