Technically, yes, but that's one of those that fall into the "close enough" category in this hyphen-averse world. In a sense it is care insurance of the long-term variety, and so I don't think that's too much of a tragedy in any publication that isn't so strict that it would print ice-cream cone or high-school student, which is to say most publications.
Contrast that with something like anti-child abuse program, where the single hyphen would be inexcusable.
(Have a question? Send it along and I just might answer it in this space. Let me know whether you want me to include your name/location/affiliation or none of the above.)