Check out Exec Tweets, where more than 100 executives tweet out their minutae to any followers who are interested. Turns out they don't lead such interesting lives, either personal or professional. They chronicle their endless meetings which are broken up by brief appearances with family. Even the chancellor of the exchequer in England is on Twitter, although he is followed by a fraction of the people who follow Ashton Kutcher.
It's highly probable that if executives are working so hard at tweeting their way through the day, they are no longer thinking the big important strategic thoughts they need to think in order to maintain the productivity of their companies.That's a little scary.
Here's something else interesting to ponder: what if you're Tweeting and you have more followers than your boss has? Does that mean you are actually more influential? Or at least more exciting?