Suicide is the leading cause of death among young men because a combination of medical science and safety regulations have made all the other causes incredibly unlikely.
Honestly, looking at the ONS data I grabbed, it's not even a truism. Male suicide is the top (non-accidental, which isn't mentioned in the article) cause of death among all people aged 15-45 in England and Wales. Boys and Men in that age category just do twice as much dying overall, and the only significant categories (of my arbitrary cutoff) that women are doing worse in is cancer and childbirth.
Oh I was specifically talking about onion2k's statement that essentially boiled down to "X is not the leading cause of death for young women because something else is", which is a truism and not useful in any way.
The interesting information here would be why it is for one cohort but not the other.
One thing I've noticed about this line is it gets used from all sorts of groups feel like they are the ones which were oppressed / the other group is the oppressor.
I don't think it's a particularly useful thing to say about yourself because, as you say, lots of people use it to try to claim they're being oppressed when really they're just losing their privilege.
It's very accurate when you're looking from the outside inwards though, such as this case where someone is claiming men are becoming irrelevant when obviously it's just that others are being seen more equally.
This quote only works for those who experienced both sides of the change. And the problems brought up in the article is mostly about the younger generations.