I find the classification of people into introverts and extroverts to be rather simplistic. While it is bad enough that people are commonly classified into one of these, you also have metrics such as the Myers Briggs Type Indicator (MBTI) that formalise this classification, with top consulting firms actively using such classifications in their day-to-day work.
What makes introvert-extrovert thing complex is that it is not even a spectrum between introversion and extroversion – you can’t say, for example, that you’re “20% introvert and 80% extrovert”. So you can’t even convert the binary classification into a scale.
The thing is that introversion and extroversion is context sensitive. For example, I like to socialise by talking to people (I HATE “catching up” in cinema halls or loud bars, since they don’t allow conversation). In terms of work, though, I largely prefer to be left alone. Even within that, I sometimes like to talk to people when I’m ideating but wholly want to be left alone when I’m executing on something.
And with each person, there might be different contexts in which they might derive energy from people around them, and contexts where they might want to be left alone. And within each context, whether they want to be with or without people is probabilistic, without a good classifier telling when they want to be how.
So introversion or extroversion is a rather large and complex set of personality traits that people have tried to force-fit not only on one axis, but also into binary classifications. And with it being part of management theory as practiced by top strategy consulting firms, it’s simply sad.