I would agree that they handle more than suicide response, but I would disagree that they are not primarily suicide response. If you call not in immediate crisis it sounds like they are going to refer you to the closest suicide prevention coordinator. From their when to call page:
>If you’re thinking of hurting yourself, looking for ways to kill yourself, or becoming self-destructive, don’t continue to face it alone. Contact the Veterans Crisis Line immediately...
>For Veterans NOT in immediate crisis:
>Help is always available. Suicide Prevention Coordinators are at all VA Medical Centers (VAMCs) nationwide and work closely with Veterans dealing with mental health conditions and with difficult life events and experiences.
https://www.veteranscrisisline.net/GetHelp/WhenToCall.aspx