Having had a critical infection repeatedly misdiagnosed until I finally went out of my way to pick a better professional, I don't buy the "just have faith in your doctor" argument.
Doctors are more like plumbers than we like to admit. There are good ones and bad ones, and it's hard to tell the difference. They do best when you can give them direction (cooperatively) and when you are willing to get a second opinion.
Parent comment is not giving explicit medical instructions. All they're saying is "talk to a medical professional" isn't some miracle advice that always works, particularly for mental health. It's fine to give anecdotes as long as one holds them with a grain of salt.
People keep saying we should _normalize_ talking about mental health, and what you're suggesting goes against that. If we were discussing heart health and someone were to talk about their exercise, diet and medication online, would you say, "Hey, wait a minute! You're not a doctor. You can't say that." Of course not. What you're advocating for is an overly paternalistic approach to mental health issues, as if people are too dumb to listen to different viewpoints and come to their own conclusions.