Being asocial doesn’t necessarily mean being unproductive, though an asocial person may be perceived as such. I’m also asocial. It would be fine with me if I never spoke to anyone at all. On my days off, I certainly don’t seek anyone out to interact with. It’s not that I dislike anyone in particular, it’s just that I have plenty of things going on in my head that are more interesting than what other people want to talk about. When I am with people, I’m almost constantly editing my real thoughts out of my speech so as to avoid arguments.
On the other hand, for pragmatic reasons I have learned how to have smooth, enjoyable interactions and relationships with people. As long as they’re pretty brief, I can endure them. As long as I can go home at the end of the day and regain my balance with solitude, I’m fine.
I think the popular vs asocial dichotomy is a false one. I’m popular in the sense that people want me to come and hang out with them. I just turn down almost all their offers. No offense to them, and they know it. The people who know me accept me as a loner.