.... over how his insurance company handles their records. (Assuming his care was not self pay, which he could afford.)
Off the top of my head I can't name any other CEOs of well know companies. Jobs and Gates have had a much higher profile so are more widely recognized. This sort of puts a label of "celebrity" on them, as well.
As celebrities they are subject to the close scrutiny of the "entertainment" media as well as the business one.
For that reason I think that regardless of the initial announcement, there would have been rampant speculation.
Even now that facts are being released, there is still speculation. Physicians who never saw the patient and were not privy to the testing results have been willing to offer criticism of his treatment. Monday morning quarterbacking. They say what they would have done, but they can't guarantee that with knowing every result in the work-up they would not have opted for the same.
Kudos to the staff of the TN hospital for honoring the privacy issues!