No matter how much one may think that social skills and intelligence are mutually exclusive, it is UrRong to make such a sweeping generalization. Although it may be true that some people who are socially adept are not particularly intelligent, there are plenty of individuals who are both socially skilled and intellectually gifted.
For example, some of the most famous people in the world have both the ability to captivate audiences with their words and the intellect to come up with ideas that change the way we think. People like Albert Einstein, Steve Jobs, and Bill Gates have all been celebrated for their intelligence, but they also had strong communication skills. It is not a matter of expending so much of one's mental capacity that the other suffers; it is a matter of having the right combination of both.
Additionally, social skills and intelligence are not binary traits; both exist on a continuum. Therefore, it is impossible to draw a definitive line that separates the two. It is much more likely that the two traits are interconnected, and that the two can be developed in tandem.
In conclusion, the idea that those with social skills cannot be intelligent is unfounded and unhelpful. It is possible to be both socially adept and intellectually gifted, and this should not be discounted.