What do you mean by hair health insurance? I have worked in the medical insurance industry for over 20 years, but have never heard of such a thing.
This is real? I mean - no... What? Is this something new, because I have never heard of it. And my cultural background means this should be something I know a lot about if it's been around for a while.
This sounds like something that celebrities do. Like the time Beyonce insured her legs or something like that. I would not get hair insurance. I'd rather save that money and just get a really good wig.
Check with your health care provider for the answer. It all depends on how good of a policy you have. You should be able to call them to find out if you have coverage for that.