This gets bandied around on TSR all the time and is simply wrong.
Obviously, introverts often find themselves being criticised particularly in relation to their relationship skills, and in a sort of overdefensive backlash against being treated like weird or abnormal they claim that intorversion makes them more thoughtful or intelligent than extroverts.
It's normal to be resentful when you're misunderstood, and it's normal to feel like the universe should make it up to you by giving you some kind of positive trait to make up for it. I'm not sure if I should blame comic books for the common narrative of "everyone always treated me like I was weird and different but it turns out this weirdness is actually because I have special powers that make me better than them," but it seems like everyone wants to play that card these days.
Introverts are not necessarily more intelligent, either. There are tonnes of of quiet, introverted people that are as dumb as bricks. It's a lot easier to look intelligent when you don't talk as much, ("better to remain quiet and be thought a fool, than to speak out and remove all doubt"), and because anything stupid you think is less likely to come out of your mouth.
There's nothing about being an extroverted, socially confident person that prevents you being highly intelligent and thoughtful too. Everyone spends a large portion of their time doing nothing, or timewasting (watching trash TV, playing computer games etc) - noone is really so pushed for free time that they have to make a tradeoff "socialising with my friends or thinking about philosophy... which to pick??".
Its established fact that Extroverts do better in their careers, have more friends and are more likely to be in relationships with a romantic partner. Some of the few areas studies have shown introverts to be more successful tend to be those where extroverts generally find the environment boring, so don't take part (e.g. academia). There have been multiple studies that show Extroverts to be happier and have higher self-esteem than introverts.
Introversion isn't something that should be celebrated. Its a failing, like being socially awkward, or poor at sports. If you are an introvert, see a therapist or counsellor and try to beat it. Being an extrovert is better in every way.