In American and Australian societies, extraverts outnumber introverts 10 to 1. Growing up a fairly severe introvert as an American had me labeled as that weird loner outcast from a young age. Always spending time with other people is the norm. Spending a lot of time alone is seen as weird and antisocial. I've known kids whose parents have sent them to shrinks and medicated them because of such "antisocial behavior" as sitting in their room for days on end reading books.
In cities, most people literally don't have 10 minutes of alone time. I certainly didn't and it drove me to the brink of insanity after a number of years. Outside of cities, most people have families and also have little time alone.
That said, introvert/extrovert isn't an on/off switch. It's a spectrum. A sliding scale.
When I hear new ideas or bounce thoughts off of others, it relieves my concerns I've built up on, or confirms my suspicions.
So it does recharge me in a way - my creativity well.
I have to wonder though, does anyone actually "recharge" when they're with a group of people or do they just have a higher tolerance for spending time with others before they need to be alone?
If you can't tell, I don't really buy the introvert/extrovert distinction and I haven't seen any evidence that anyone can spend unlimited amounts of time with others without recharging alone. From my own experience it seems like there's a continuum from "needs lots of alone time" to "doesn't need all that much alone time".