Are writers introverts?

sometime i love to be alone not becouse of lonely..
it's just because i love to spending time with myself and enjoy every little things that i like to do..
so being alone does'nt make me feel lost anywhere
the loneliness let me noe what i need for me all de time..
heppiest moment ever when im alone.

                            Veronica Francis

It is said that an extravert is someone whose batteries are charged by being around people while an introvert gets charged by being alone. Writing is a solitary art; you need solitude for creation. Writers need peace and quiet enough to work, for a start. They need to concentrate. Even those of us who collaborate, write our own pieces separately and knit them together later. Writers get their energy from time alone with their minds. On a good day for writers, there’s a buzz about it; everything else fades away except people and the story in their heads; a “flow” develops and they become lost in thought. They can write pages without pausing, each word leading naturally to the next. At the very least, writers have to be happy on their own.

Then, in order to observe and gain insight into people’s minds and personalities - or where are their characters and their dialogues to come from -  writers must stand back, build a bit of a wall between themselves and other people. To stand back from, to hold back from… It does suggest that they are necessarily rather aloof and reticent.

Is that true? Are all writers introverts, then? I’m interested. What do you think?