Parents search for an activity, not a sport. Chess for children appears alongside music lessons and swimming in the same evening of searching, so the page competes on schedule, price and what it does for a child rather than on chess.
Stuck players search precisely. Somebody who has not improved in a year types their exact rating band and what to do about it, and that person pays for coaching willingly because the frustration is real.
Online coaching has no catchment. A coach teaching through a screen competes with every coach in the language, which means the specialism — an age, a rating band, a style — is what makes anybody findable.
School holidays are searched in bursts. Intensive courses during the breaks are looked for by parents solving a childcare problem, and being visible then fills weeks that the regular timetable leaves empty.