Since only a small portion of non-gun suicide attempts are successful in most countries, unless they are very different, the Swiss must have a higher suicide attempt rate than we do.
No, I can’t prove that. But I have proved that, in the US, only gun-assisted suicide has attempts mostly succeed,
One complication is that Switzerland has legal assisted suicide. Those are, of course, legitimate examples of successful non-gun suicide, and may be skewing the Wikipedia statistic you quote. It’s hard to say, as the Switzerland line of the Wikipedia chart isn’t footnoted.
What’s easy, and correct, to say is that, in the US, the typical impulsive suicide, contemplated for an hour or two before the attempt, and usually not repeated if unsuccessful, tends to succeed only when there’s a gun in the house. And one more thing about the child statistics. Just because a child turns 18 doesn’t prevent him from killing himself with a family gun. There likely are more young adults than children who kill themselves with parental guns.
If someone wants an excuse for not having a gun, I’m fine with them saying they don’t want a gun accident. As as fairly clumsy person, there is no way I should have a gun. But I’m not citing accidents in my arguments since most US gun deaths are permanent-solution-for-a-temporary-problem suicides. As for accident statistics, some of that comes from covered-up suicides, and others, I fear, are murders, so I’m not going to make a case with that number.