What you should be saying is that a more-informed person is less likely to make mistakes than a less-informed person.

You assume that doctors, in the couple of hours they may dedicate each day to catch up on all of the many plethora issues affecting all of their patients covering thousands of different areas of research that affect human health (and retain all of these things), is going to be more informed about the particular health issue affecting one person, who is extremely invested in this one aspect of their own health, and can dedicate the same or greater amount of their time researching that specific issue.

A specialist, possibly - but a general practitioner - unlikely.