My understanding is that the disparity in "successful" suicides is because women tend to choose methods that can be reversed if you catch them quickly enough (like poison), while men tend to choose violent methods that are over quickly (like self inflicted gunshots).

This article is from the UK, where firearms only account for 2.5% of completed suicides. In both the US and the UK, men are generally more likely to succeed even after accounting for their chosen method, e.g. they take larger overdoses within the same drug class:

https://www.sciencedirect.com/science/article/abs/pii/S01650...

https://jamanetwork.com/journals/jamanetworkopen/fullarticle...

Almost like only one of them is actually serious about ending there life while the other merely uses it for attention they will get unlike the former