As someone who used to battle suicidal thoughts for years let me offer some perspective.
For a long time there was a single thought that would go through my mind - almost constantly, even when I wasn't really *feeling* depressed. The thought was of stabbing myself in the chest or stomach with a large kitchen knife or cutting myself in a way which would kill me.
The reason I am putting an * around the word feeling is because I wasn't always self-aware of my deeply depressed state.. Actually, there were times I would even feel euphoric but yet that thought of inflicting such injuries upon myself would constantly go through my mind. By constantly, I mean every few minutes (if not every few seconds).
The thought was that this act would release me - that it would give me a sense of relief. I am not surprised that some people give in to this senseless feeling.
For myself, I escaped because I turned to religion. Those thoughts don't cross my mind anymore and haven't anymore. I recognise now that there are forces out there which don't want me alive and that there is also a benevolent personality out there (God) who wants me to live and thrive.
I realise that this thought may be scorned or mocked on this site and others. But for me it saved my life.