Same experience here - cut way back on my Twitter use. I see Twitter as mostly for celebrities and community leaders (tech community or whatever) to entertain us, provide interesting insight, or spread important news. Overall, though, it all isn't very important in our lives and it's not worth it to monitor all day every day.
Take people like Gruber, though, who now integrate this type of social service into their work - it is now really important to them. And of course they will communicate to us that "hey, this is really important!".
I'd say for most of us ("the general public"), it's just not that important.