First off, why discount suicides? The fact is that in households without guns, people are far less likely to commit suicide. Why? Because suicide is usually a quick decision and if people can’t figure out how to do it right in that moment they’re less likely to do so.

https://www.hsph.harvard.edu/news/magazine/guns-and-suicide/

Secondly, what “accidents”? There are no gun accidents. There’s handling a firearm improperly, period. If your child gets hold of your gun and kills himself or someone else, that’s not an “accident.” That’s criminal negligence.