Traditional sport stars are looked upon because of their skills, not 'pure physical abilities'. See the recent "one hand catch" on american football. Messi on soccer, NBA best plays of the week. Physical abilities are more of a necessity on pro traditional sports rather than the reason the stars are admired.
At the same time, eSports are not totally "intellectually based". FPS, in my point of view, has the same proportion of skills and strategy as any traditional sports. Games like League of Legends have indeed more strategy involved, but still demand skills. No eSports is like chess or traditional card games, and I guess that is why their are such an interesting show.