I actually feel like this is a good argument for normalizing the fact that probably everyone has thoughts about suicide (as OP said, thinking about the implications versus considering).
I remember a period of my life where I was struggling a bit more than normal with anxiety, and my creative / intrusive brain was like "how about you think on the concept of suicide?" to which my brain responded "wow now you're thinking about suicide, you should really seek help".
In reality, it was just an intrusive thought. But the fact that my brain jumped on that thought, and ruminated on it as "if the thought popped into my head, maybe I'm not OK", that was the thing that caused problems.