But I wouldn't be so arrogant as to attempt to generalize from even a small handful of examples to an entire population.
My own interpretation is that introverts focus on getting things done, which is just a lot easier to do without distractions, e.g. away from the office.
Also, for me the #3 trait of a good leader is the most important, you have to display technical and professional expertise.
When your work is of a technical nature, it doesn't inspire confidence in your leader if they have no technical knowledge.
There's a book about this called Quiet, I it. It's an overview of the like social history of the concepts of intro- and extroversion, and also research about these traits. The difference seems to be more about stimulation and arousal than like social preferences or anything to do with work.
Introverts get more aroused from the same stimulus than extroverts do. This manifests in a bunch of different ways. The social ones are most obvious because human connection is the most common source of intense stimulus in human lives.
But for example extroverts are more likely to be "adrenaline junkies" because they need more stimulus to feel the same degree of excitement. This has nothing to do at all with social stuff or talking or "getting things done" it's just a thing. There are dozens or hundreds of correlations like this.
The interpersonal and social differences are the most obvious effects, but they aren't at the core of what these things are.
Did you read anything in what I described of the book that seemed overwhelmingly positive about introverts because it kind of isn't.
Are you under the impression that I'm an introvert? Because uh no.
I get what you're saying I just don't see why you're saying it to me I guess.
I think there's an implicit unstated assumption here of what "getting things done" means.
When I was a "individual contributor" / "Subject matter expert" for most of my career, that indeed may have meant sitting down alone and coding / configuring / etc.
In a leadership role now, "getting things done" for my role is now 100% about engaging with other people, supporting them, understanding them, motivating them, guiding them (in as subtle and non-invasive and stealth method as manageable:). This has been a big hurdle / growth opportunity for me as an introvert, but also gave me a ton of new perspectives I haven't had first two decades of my work.
A good leader has many traits, and almost all of them start with communication.
Like technology, leadership can also be learned. The downside of learning good leadership, is then you see all the bad leadership that stands out. For example, blaming someone else or otherwise not taking ownership of a mistake is bad at any level, but really the sign of a terrible leader.