Just to add something: most people don't need or benefit from an AI therapy service like this, so even if we accept that such a service is necessary for some people, you would never, ever, ever want this service to be popular.
If it's popular, then it's being used by people who don't need it. If people are using it when they don't need it, then we're engendering a kind of asocial, learned helplessness into them that is really, really destructive to society long term.
At best, I would want this to strictly be on a case by case basis.
Would you rather that chatbot handle things with care?
This is just an informed personal opinion, but I don't think it's possible for an LLM to do this.
Truly, I think Eliza would be better because Eliza doesn't give advice.