Most people who call themselves introverts aren't introverts at all, they are awkward, socially anxious people looking to buy themselves a free pass not to have to bother with people.
I can only speak for myself, but no. I have always worked in 'people' roles, Education, Social work, and housing. Most people I come into contact with assume I'm a people person, outgoing, confident and invested. The truth is that despite needing a lot of alone time to decompress and relax, being fundamentally an analytical and critical thinker who is happier reading and pondering the big questions, I like people. I have empathy, I'm concerned and occasionally I meet with people who are capable of equal, reciprocal and decent behaviour towards me.
I've worked with people when they have been at their lowest, most vulnerable, or frankly most angry and hostile and whilst it tests your faith in human nature I still try to tap into that shared human core even when not sharing the same experiences.
I am an introvert. I need time on my own almost as much as need food or sleep. Otherwise I become not just mentally tired but physically exhausted.