Exactly.

People threatening suicide unless they get their way fall into two categories.

One, the actually suicidal who are under such a distress for whatever reason that they are a danger to themselves and others, they need the psychiatric hold and need to be institutionalized so they can be watched until they get better.

Two, sociopaths that are engaging in what I like to call "emotional terrorism" where they are taking advantage of general societies empathy and tendency not to just be all like "ok bye then" towards people threatening suicide.

Since in any public facing roll you can't really effectively screen the difference between the truly suicidally insane and the sociopaths, you just treat them all as suicidally insane and institutionalize them, this limits the ability of the sociopaths to use this strategy anyway since it no longer accomplishes their goals.