...but women in that age group have more suicidal thoughts, and have more suicidal behaviour (planning, preparation), and have more suicide attempts than men.
If women switch to more lethal methods - which is what this article says is happening - they'll soon overtake men in numbers of deaths, especially in this age group.
It really would be news, if any cohort of women had a higher suicide rate than the same cohort of men. That isn't the case, however, and men's rates are ticking up just like women's. TFA offered no evidence for the "more lethal methods" claim.