In another sense, Twitter is about delayed discussion. It can set up future conversations that bypass some of the introduction. A friend tweets that he bought a house, he closes on this date, and moves in on that date; the next time I see him we have the chance to jump into an interesting conversation about the house and the process instead of him having to repeat that information for the millionth time.
And there's something else Twitter's done that I'm not sure could have happened before. I wrote a tweet about being in the Salt Lake City airport, and a friend of mine calls me to say "Hey, me too. Let's grab a drink." We hadn't seen each other in a while and neither of us knew the other was traveling or where. That wouldn't have happened a year ago. We would have missed that chance.
(I went a little further than I expected here. But Twitter has some real use cases people are still figuring out, and they're different than email or text or IM or phone calls. People using Twitter for "Here I am! Here's what I think is important! Listen to me." are doing it wrong.)