As I understand it, and I checked their "About" page to make sure [0], their focus is broader and they want you to call them well before suicidal thoughts, which is why they don't have "suicide" in the name.
> In 2011, the National Veterans Suicide Prevention Hotline was renamed the Veterans Crisis
> Line to encourage Veterans and their families and friends to make the call. People who know
> a Veteran best may be the first to recognize emotional distress and reach out for support
> when issues reach a crisis point — and well before a Veteran is at risk of suicide.