2nd biggest US health insurer has insurance to cover revenue lost as a result of customer info being hacked

From Insurance Networking News:

Anthem to tell customers within two weeks if they were hacked

I had never considered that a health insurer would have information to cover their losses if customer info is hacked, although it makes perfect sense, from a business continuity perspective. But as a consumer (of health insurance, not specifically of Anthem's), my first thought was that their insurance doesn't help me if my information is hacked.

Insurance won't cover damage to an organization's reputation, or gain back the trust of all of their customers.