I actually disagree. At the extremes, sure. The top athlete is unlikely to be the top scholar or conversationalist. But I believe health, beauty, EQ and IQ are all correlated. These traits all likely have some shared genetic components. And a great, healthy childhood will augment all these traits to some extent.
Also, beautiful people are less likely to experience social isolation or estrangement, which would otherwise hurt EQ and health in general.
From another angle, experiences that leave emotional scars will often have physical manifestations, and vice versa.
That said, we may subconsciously assume a higher correlation than exists between these traits, so directionally the author may be correct.
None of this is fair or desirable, by the way.