It would solve the problem of "pilot needs someone to talk to about their issues with their wife", which is nice. But don't know if it solves the larger issue being discussed.
Put yourself in a pilot's shoes. Would you attend sessions if there was ANY chance of you not being able to fly? Would others? It's optional and your entire career hinges on not being grounded once. That's you, your family, and anyone else who depends on your income.
The perception of this solution is still the same as the current one - I can be grounded.
Initially it might work, but once that first guy gets grounded via the program (or maybe a few), word gets out that's what this system ends up doing - you're right back here wondering what the solution was that was so easy.
Mental health, "relatively easy" to fake esp if there's a lot of money waiting for you on the other-side if you get it right.
The problem is people think that any 'solution' to this problem needs to be perfect. "What if we never find out this guy was a problem" comes up. No. You just need to make the next system net _better_. Don't delay forward progress because the next step isn't "perfect".