Happens at work all the time, I don't wanna be a manager and tell people what to do, I just wanna be in my corner and do my work. I've been forced to develop these social skills but still hate doing it.
You can make a "punnentt square" with the two axis being Introverted/Extroverted and Social/Anti-Social
I know many introverted people who are not Anti-Social (i.e. "Social" for the purposes of this example). I also know some people who are Extroverted and Anti-Social. Anti-Social Extroverts I find to be the most annoying sort of people. They are the type of people that will tell you they have, "No filter", and don't care about the consequences of their social interactions.
Every time I see a meme about how introverts are sad about being alone and need help to not be alone anymore, I know the meme was either made by an extrovert or a person mistaking their mental health issues for being an introvert.