That's the real advantage extroverts have when it comes to being social. Many introverts have great social skills, but they can't match that energy that extroverts get when socializing, it's like they are literally feeding on the interaction. Meanwhile, an introvert will slowly become drained in an extended interaction.
Of course introverts have the advantage in other situations, like working on solitary projects. They can do so without being drained of energy and without the distraction of needing to socialize. I used to work with this one gentleman who was an extreme extrovert, and if no one came to talk to him you could see him becoming more and more frustrated.
I bet most great scientific advances were made by introverts, for the reasons listed above.