Well, my first reaction to a suicide threat by an abuser would be to say "Have at it."
Anytime anyone indicates they are suicidal you must report. Even if your gut says they are not serious, call and report. What will happen is the police will show up to the location you indicated that individual was at and do a
I am annoyed. I had a nice long response typed out and my computer went nuts on me. Most of it was telling you how I handled my ex when he said he was going to kill himself. I was told a long time ago that someone who really wants to kill themselves will do it without saying anything to anyone and those who whine about it are doing it for attention. Seeing how your x is an abuser I am thinking he is doing it for attention and the last time my x threatened I offered to send him
In my former marriage suicide was thrown out there, but it was more in related to him not finding a job, and probably sensing that I was going to leave him soon.
Thank you all.