It will depend on the type of suicidalness. Almost all of the discourse you see around suicide is about the people who attempt it impulsively. Those people usually regret it, and would be grateful for being saved. (Kazura probably falls into this camp.)
But there's another type of suicidal person that society generally tries to pretend doesn't exist. The kind of person who is suicidal for years, who genuinely wants to die and plans out their death.
But there's another type of depression that doesn't have nearly as much acknowledgement, which has nothing to do with an actual medical condition like a chemical imbalance in the brain. Colloquially, it's known as Shit Life Syndrome. For some people, their life is so bad, devoid of happiness, full of suffering... that of course they're depressed. And if your prospects are bleak for ever not being in constant pain, well, suicide becomes incredibly appealing, since what's the point of living a life in which nobody cares about you and you only experience unpleasant things?
IMO in order to maintain this distinction you have to assume a level of objective self-understanding that isn't really possible. Or at any rate, I'd be careful to make assumptions about who's suffering "Shit Life Syndrome" and who isn't.