This is only helpful when there is a professional therapist available soon enough and at a price that the person can pay. In my experience, this is frequently not the case. I know of one recent suicide attempt where the person actually reached out to AI to ask for help, and was refused help and told to see a professional. That sent the person into even more despair, feeling like not even AI gave a shit about them. That was actually the final straw that triggered the attempt.
I very much want what you say to be true, but it requires access to professional humans, which is not universally available. Taking an absolutist approach to this could very well do more harm than good. I doubt anything we do will reduce number of lives lost to zero, so I think it's important that we figure out where the optimal balance is.