If health insurance gets access to our DNA they could even know if there's a history of illness in your family, or how prone you are to drug/alcohol/cigarette addiction, and use that info to increase your rates. It's just one of the reasons why volunteering that data away freely to companies like 23andme is a terrible idea.
This is clearly invasion of privacy. Just think about it. If insurance companies start collection you car data like at what speed you drive etc. They can cancel policy if we violate traffic laws. If they collect healthcare data they can cancel policy for abortion or drinking etc
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