That process of getting comfortable is the relevant context though - not a virtual dial in their brain that goes from "introvert" to "extrovert".
They don't though. You just sound like an extrovert that can't fathom that introverts exist.
Even if my family visit me and I am comfortable with them, I will still be extremely tired when they leave. I won't feel "energised"
likewise i have given presentations on various topics in front of dozens or hundreds of people. my comfort level depended on how well prepared i was, and how the audience reacted. during the speech part anxiety is higher because i get little to no feedback, but then the Q&A can turn things around if people have lots of questions that show their interest in the topic.
oh, and when i am drained, i can't go to sleep. i have to do something interesting for myself for at least an hour or more in order to divert my thoughts away from the draining experience.