I don't think it even matters if you "really" want to die or if you feel so desperate and distressed that words like "suicidal" are the best fit for your extreme emotional state. It annoys me when people see attempts at, or expressions of, suicide as some kind of inferior pain. I think it is true that if someone is committed to suicide then they will not actively seek an intervention, but this does not mean that those who do seek are intervention are not in crisis. I haven't attempted suicide, although I work with those who have and do, so maybe others have more accurate insights.