My thoughts too more or less.
I have a lot of resistance to go and meet people, break ice, try and engage in conversations even with people I know very well or supposed to work with on a regular basis. I feel drained afterwards and need a break after every meeting. The meeting itself usually goes well, and I am fairly engaged even if not the most talkative -- if the subject matter of discussion is my work or something I am reasonably interested in I might be the most vocal even -- and people who meet me (without knowing me and my preferences closely) might very well picture me as a "normal" or even an extroverted person.
But (I just came up with this thougt experiment:) if someone were to interrupt my social or professional meetings at any random point and give me a choice of either continuing or immediately going back to "me time" without any consequences -- I think I would choose the latter 90% or more of the time.