That's the possible upside. The possible downside is "if you ever search for a disease in Chrome, or on your Android device, or at google.com, we will notify your insurance company who will raise your rates".
If you give your medical information to someone/something that is not a covered entity or business associate they do not have to follow HIPAA rules.
More information here [1].
[1] https://www.hhs.gov/hipaa/for-professionals/covered-entities...
So I guess it boils down to a difference of opinion is all.