I have a friend who grew up with an alcoholic dramaqueen dad. One of the (countless) times his dad threatened to kill himself if the mom/wife didn't [fill in demand here], the mom/wife said (without even looking up from her sewing) "if you're gonna shoot yourself, do it in the garage because it's easier to clean up the mess in there."
That's basically the point I got to with my A as well. While I'm not advocating taking threats of suicide lightly, my experience with As is that they're usually to enamored with themselves to actually do anything but use the suicide card as a way to manipulate the people around them.
I know that sounds harsh, but that's my experience.