The problem for healthcare insurers is that healthcare is a product often obtained while under duress. Patients have to trust their doctors, so they'd much rather call their insurers greedy than the people to whom they entrust their most valuable asset.

If you want to look for greed in healthcare, look at medical schools, hospitals, doctors, and pharmaceutical and medical device manufacturers. Insurance costs are a simple reflection of the incomes of those parties. State regulators (for small group and individuals) and shopping around by sophisticated consumers (large groups) assures that.