It's rather entertaining to see the fallout of costs becoming more transparent in America's healthcare system. There is a reason why the medical field is so lucrative in the US, and it's because for decades it's been subject to extreme price obfuscation. This is great for the merchants (pharmaceuticals, doctors, hospitals, medical software providers, nurses, etc), especially for such inelastic goods such as healthcare.
Now that organizations in the US have reached a breaking point, those costs are becoming clear to the consumers and they don't like it. You're absolutely right that the term insurance is bastardized in the healthcare setting, but people will have no choice but to understand.
If people want to blame somebody, they can start with the doctors union that restricts the number of residency positions open.