I feel like this thread has gotten a little off topic. OP asked about ADHD, anxiety, and depression, not psychosis. Besides, I cannot fathom letting someone with a history of psychosis fly an airplane without a lot of scrutiny.
But to answer OP's original question, disagree. While it is true that they are removing some barriers, they still have a long way to go to fixing the problem.
I think
@dbahn said it best:
The problem is that they use a fine screen but then they don't have sufficient resources to sort out the particles efficiently. Currently, most of the applicants who get denied can eventually get certified with enough time and money.
This is my situation. I am like 95% sure that I will eventually be certified, and I am fortunate that I have sufficient resources to complete the evaluations that the FAA requires of me. Even still, the whole process has been a major headache for me.
Do I really need extensive neurocognitive testing when a CFI can plainly tell that I am cognitively capable of operating an airplane (by watching me actually do it)? Do I really need a psychiatric evaluation by a doctor who I have never met before when the psychologist who I have a working relationship with can tell you I'm not at all a risk to myself or others?
The answer, in most cases, is no. Bear in mind, all I want to do is GA. Maybe if I go for ATP then I could sympathize with the extra rigor, though even then there are still issues. Additionally, the doctors in OKC don't know me. They have never met me. What makes them, from a practical perspective, better able to determine my medical airworthiness than an AME who I'm working with? I think the answer is nothing.
I'm anxiously awaiting the changes downstream of the recent ARC report. I think some of those proposals might actually do some good.
All that said, I don't claim to be an expert. I sort of just come here to vent frustration. I'm open to reasonable counterarguments.