I'm not so sure. I went to existential therapy for some years. My therapist was fairly certain I wouldn't kill myself, and my ideation was just an open examination of the various options. I used to talk about being embarrassed after a social situation and wanting to walk into a plane propeller and be turned into red mist. She'd casually ask if I was going to do it and I was like, of course not. She said she wasn't worried about me.

My whole point in this thread is that suicide is always, fundamentally irrational. I keep getting downvoted for it, but I think it's an important point - especially for people who consider themselves rational beings but also include suicide in the list of things they'd consider as options.

But the therapist did not said that "properly functioning brain takes suicide into account as a possible choice all the time". That is much stronger statement then "you are not at risk of suicide".

If is completely normal and usual for properly functioning adults to not see suicide as a possible choice all the time. Suicide ideation is not normal state of being.

I have to disagree. This is like saying that most people never consider sleeping with their neighbor's wife. Bullshit. I think people who claim that they never have such "bad thoughts" are lying - either to the world or to themselves. If you refuse to admit to yourself that you've considered it, you can never have an honest conversation with yourself and work out the rational reasons why you shouldn't do it. This is how "normal" people end up suddenly doing things totally seemingly out of character; they failed to be honest with themselves.