If you lack social skills, or have weird hobbies, you will slap the “introvert” label on yourself to empower yourself. “I’m not a freak, I’m an introvert.” And putting such labels on yourself is exactly the problem. The label of a “cool, but lonely introvert” is nothing but a defense mechanism.
Of course being an introvert is OK. It’s a natural part of who YOU are, it comes with a lot of advantages and, yes, sometimes you’ll get tired if you’re around certain people too long. But introverts can be fun, interesting, social, and even outgoing when they want to be. Sometimes it takes getting comfortable with your surroundings. And this might take a while, it varies from person to person.