this is true for life insurance but not health insurance. also it seems reasonable that your insurance company shiould have access to data that defines your risk since it helps them make better statistical models to manage risk across large pools of people as well as tailor the policy costs to your individualized risk.
This is how it works in other areas, like car insurance; with an absence of data, your policy is roughly based on the average individual, but as you gain more years of driving experience (good or bad), they factor that in. Bad drivers who get in more accidents pay more because their behavior is riskier and costs more. (the big difference being, in this case, genetic risk is predetermined and not something you can easily change through behaviur modification).
I worked in insurance. A large part of how they manage costs is by policy exclusions. I believe universal coverage where they can't exclude pre-existing conditions breaks the insurance model.
It really needs to be covered by the government, like police and fire. Universal health coverage makes sense as a public good. It doesn't really make sense as an insurance product.
This is how it works in other areas, like car insurance; with an absence of data, your policy is roughly based on the average individual, but as you gain more years of driving experience (good or bad), they factor that in. Bad drivers who get in more accidents pay more because their behavior is riskier and costs more. (the big difference being, in this case, genetic risk is predetermined and not something you can easily change through behaviur modification).