> best approximation of the rational mind attempting to figure out an escape from a consistently negative situation under conditions of very limited information about alternatives
I dislike this phrasing, because it implies things can always get better if only the suicidal person were a bit less ignorant. The reality is there are countless situations from which the entire rest of your life is 99.9999% guaranteed to constitute of a highly lopsided ratio of suffering to joy. An obvious example are diseases/disabilities in which pain is severe, constant, and quality of life is permanently diminished. Short of hoping for a miracle cure to be discovered, there is no alternative and it is perfectly rational to conclude that there is no purpose to continuing to live in that circumstance, provided the person in question lives with their own happiness as a motivating factor.
Less extreme conditions than disability can also lead to this, where it's possible things can get better but there's still a high degree of uncertainty around it. For example, if there's a 30% chance that after suffering miserably for 10 years your life will get better, and a 70% chance you will continue to suffer, is it irrational to commit suicide? I wouldn't say so.
And so, when we start talking about suicide on the scale of millions of people ideating, I think there's a bit of folly in assuming that these people can be "fixed" by talking to them better. What would actually make people less suicidal is not being talked out of it, but an improvement to their quality of life, or at least hope for a future improvement in quality of life. That hope is hard to come by for many. In my estimation there are numerous societies in which living conditions are rapidly deteriorating, and at some point there will have to be a reckoning with the fact that rational minds conclude suicide is the way out when the alternatives are worse.