Separating AD for suicidal thoughts

I heard from many of my fellow thirds and some second class POs that, when a member states"I want to hurt myself or kill myself" the military acts to treat these individuals but immediately separates them after the fact. I'm wondering why does the military do this? I thought the goal was to help the member get back on their feet and care for them. Show them that people care and inspire them to continue to serve our country. This seems (to me at least) the military doesn't want to deal with these kinds of service members. Can anyone shed some light on this matter?