Genuinely curious about this - if you call one of these numbers and say you are thinking of self harm but you are not actually going to hurt yourself and you do not want them to call whomever to your home are they likely to do it anyways?
He quit his job a couple of days later and has been fine since, so maybe the person on the phone can make a judgement call on whether it's a recurring issue that needs professional help, or something that is an extreme response to an isolated incident and the person will be fine after they're "talked down from the ledge".
So the question is do you want to play roulette with your physical freedom.