The problem is that psychiatry as practiced is an attempt to solve people, and people can't be solved; or if they can, it is unique (as you say) to the individual.
And really you're no different: you're giving out advice to people on how to manage their mental health. Your advice is harmless from a societal perspective in that it's literally what psychiatrists want you to be saying.
That doesn't mean you're not one of the misinformed internet commenters. It's not universally applicable. Most people don't have the time and money to shop around, even if the actual problems of their mental state allow them to seek help.
You can't come up with the words that are going to make people better. Nor should you be expected to!
Recognizing that psychiatrists are the ones we pay to be expected to act to make people better and they are themselves human and subject to human failures: this, I think, is why criticism of psychiatry emerges in topics like these.
I'm not disagreeing with your general advice, just criticizing your smugness and certainty in your opening lines. You're not better at this than we are just because you're giving the generic safe advice.