This is a little misleading. Men attempt suicide with more reliably lethal methods like firearms, whereas women attempt suicide using more unreliably lethal methods like overdosing on medication [1]. In fact, according to your link, women attempt suicide at a rate of 1.8x that of men [2].
The claim was that the number was due to cavalier attitudes, which is unsupported. I think the added context is important. Maybe you don’t, but others might. The drastic 3.8x number is more a function of the mode of suicide rather than cavalier attitudes, as far as I see it.
[1]: https://www.verywellmind.com/gender-differences-in-suicide-m...
[2]: https://www.datocms-assets.com/12810/1649682186-14296_afsp_2...