I think we still might be talking past each other. My assumption would be that we do a pretty terrible job at both #1 and #2 on your list, and we should look at how we can do both better. I don't think it is a competition.
I have no doubt that professionals can predict suicide for some people with actually high confidence, e.g. >50%. Sometimes it is just obvious to anyone with eyes. My point is that despite this, it doesn't mean that they are good at finding suicidal people in general.
If 45k Americans kill themselves per year, how many of those were previously identified as "high risk". How many total are identified as high risk?
Most of the things we consider as "risk factors" are terrible predictors. Take depression or anxiety, which are considered major factors. They only increase the relative risk of suicide between 2 and 5x. That is crap. When your baseline suicide rate is 13/100,000 and your major depressive is 5X more likely, you are still at 65/100,000.
This is just a long winded way of saying that if you want to claim we are good at predicting suicides, we have to take into account all of the false positives, and all of the false negatives.
If someone gave top professionals the job of predicting which 13 people out of 100k would kill themselves, how many do you think they would get right and how many would they miss?