Most companies don't cooperate with law enforcement, it's only Gedmatch who do currently and you need to personally opt in to that because they originally gave free access and there was a legal challenge. None will give info to health insurance companies, privacy laws in most places wouldn't allow that. All of them have to let you delete your info whenever you want.
However if you don't trust for profit orgs then you're out of luck. Many of them are run by the LDS though, and their goal is to get your family tree so that they can baptise your dead relatives, so like, kinda harmless as far as corporate strategy goes.
I've had mine done and nobody has made an evil clone to frame me for killing the king yet, so it's not too bad.