These studies have not been in general agreement, but some facts are more consistent. The risk of suicide in a family home where there is a gun is significantly greater, even if the gun is not loaded. The other thing about guns is that if you shoot yourself, your chance of surviving a self-inflicted gunshot wound is less than 10 percent. Whereas if you swallow pills, the odds are much better. It's highly lethal, just like the pesticides.
People tend to use what's available.
The ones who don't talk about it, because they're keeping it a secret and they don't want to be stopped, are the hardest group to help. But the people who do talk about it are often not helped. Anyone that talks about it should be steered towards someone who knows something about it and can help them get better. The short answer to that is there is a bit of decline. But it's not as big as we'd hoped for.