If you leave sensitive personal data on the web, having your doctor finding it should be the last of your worries.
The family member might be able to tell the doctor a lot more about the patient then the doctor is able to get out of the patient. This has worked wonders in treating my dad, because he isn't able to really talk about his symptoms for whatever reason, he just can't describe them well, or doesn't think some of them are a problem that others are concerned about. My mom observes them, goes to the doctor with him, and tells the doctor what is going on with him.
>I may not want my test results to be shared with the insurance company, who will then charge me more.
That has nothing to do with this. If you don't want to share test results with insurance, then don't. Don't submit the claim to the insurance company, they don't pay for it, and nobody knows the results except you, the lab, and your doctor. If you want anyone else to know, you sign a release. That's how HIPPA works. This has nothing to do with doctors Googleing you.
So, you want your doctor to make decisions about your health based on lies and misinformation?
What is fascinating here is that probably most people have no idea how easily accessible their data is from everyone today.
Making anything widely adopted illegal is not a solution. Educating people to be more careful about what kind of info they share online, eponymously seems like a winner. What people don't seem to get is that the internet stays here for ever, for the good and bad.