For me, it seemed to just fade away so I'd go with resolving other issues. I'll still have some thoughts now and again; however, they are fleeting and don't return for a long time. Mostly, it seems like it is not my go to back up plan. The images are also not as vivid, comforting, or something. I'd say that I'm still working through it as there are many times where I don't want to live, I also don't want to die. I think that's been a change for me, the not wanting to die part. There's now a voice inside that says I don't want to die, it might be getting closer to having more days of saying that I want to live, I'm not sure.
It took 2ish years for me to get to the place where I realized I wasn't having suicidal thoughts or violent images on basically a daily bases; and when I did have them they were not rewarding/relieving.