Being an introvert isn’t necessarily someone who doesn’t like to be very crowded places partying with a lot of people just for the sake of the occasion, w/o any big spiritual reason for example.
Of course there are introvert people who are like you described in your post but that would be a big generalization. Being an introvert can also mean that you appreciate and value some time alone with yourself (maybe share it with a very few selected people), but also enjoy going to crowded places and celebrating such festivities.
I wouldn’t really say or generalize that the NYE celebrations are for solely for extroverts. Instead, I’d say it a festivity where people just like to go and have some fun and enjoy the ambient of a celebration with thousand of unknown persons around you. That doesn’t mean you are exchanging the time for yourself for a time with a lot of people; you could say you are enjoying a different experience or maybe balancing the time in public with your private time, depending on how ones sees it.
Also it is a very cultural thing how everyone receives the new year. In Mexico for example, people tend to celebrate it with big family reunions and a nice dinner. In the other hand, in Germany everyone goes with their friends out to party and throw some fireworks. Generalizing being an introvert or extrovert in such celebrations can become hard from a cultural perspective.
I liked your point of view and reasoning, but I think the generalization about being introvert is somewhat polarized.