The realtime web is basically about breaking news. That's a significant proportion of search queries, perhaps 20-30% (you can quantify with the AOL query dataset).
I don't personally care so much about 5000 Tweets saying "Michael Jackson RIP". That's ultra-mainstream breaking news that you would hear about anyway.
Instead the interesting thing about Twitter is that it's gotten big enough to explore the tail of breaking news in areas I care about, e.g. conferences and events that I want to follow without being present. A lot of that stuff would never make a full news piece or journal article, but is important to gauge attitudes and trends.
Basically it reduces the threshold of a "least publishable unit", and in doing so unlocks a large amount of breaking news that would not otherwise get out there.