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.
