Lately Steve Jobs has been in news on account of his ailing health.
He wrote a letter to his employees in Apple to allay their apprehensions.
When a leader is a center of gravity in any organization, to the extent where people join the organization because of his/her leadership, rumours about life threatening diseases can have serious implications in terms of people getting disturbed and at times even taking important career decisions on that basis.
Its a nice example of how transparency of communication from the top can matter to the morale of the organization. Of course, for this to work, people must be used to transparency in other important times as well.