The problem is that all leaders have an inherent conflict of interest between the following two goals:

1. Doing the job

2. Maintaining power

The problem is, again, two-fold:

1. The things you need to do to serve the first goal are often different from the things you need to do to serve the second, and

2. You must achieve the second goal in order to even attempt to achieve the first.

That's the fundamental problem. It has nothing to do with Twitter per se. It's an inherent feature of all large-scale societal interactions.