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Sure, pairing is more tiring than solo coding, but I don’t think it necessarily has anything to do with introversion. I’m very introverted, but I don’t find pairing socially draining at all, not after a little time spent getting know the other person’s style. And my extroverted coworkers seem just as tired after a long day. :)
I’m an introvert, and I don’t find pairing to be more draining relative to the amount of work that gets done. It’s just that in my experience pairing just gets more done in the same amount of time, which tends to wear you out more.