Sleeping I'm not really sure what mental health information accuses women of just being drama queens but men being serious about it.
Not mental health information, but the dialogue around suicide stats.
Samaritans have focused on reaching out to men of a certain age not because women are less deserving but because men are less likely to ask for help.
Yes, and that's great - targetting one of the specific issues (as obviosuly they are a listening service, not actual treatment), rather than the implication that men must be suffering more.
Senator Climate of toxic masculinity discourages men from seeking help.
Yes, but I think it does so much more than that. Like the violence thing - whether aimed at someone else or themselves. And impulsiveness as notafish mentions. Interesting point abut intoxication too.
This is what I mean, it's all so complex but seems to get reduced to something much more simplistic.
Capt Women are more likely to engage with MH services, with any health services actually. This may account for more diagnosis in women and ultimately less suicide.
But these extra women are largely in primary care, under a GP (who may have no mental health training), not specialist mental health services. The system isn't particularly working for them - it's not just about seeking help.
... statistically it is more difficult to reach men in all areas of preventative healthcare.
It's interesting that you include mental health services as "preventative healthcare". Surly the person is already ill by that point? Unless services are simply to prevent suicide, a focus which would mean women lose out as funds would be directed to men. Prevention meaning actual prevention before becoming mentally unwell - very true. Women are more likely to put effort into keeping up friendships, for example - and the answer to this is men doing the same.
HoofWanking I am so sorry to hear of your experiences.
... when I have had severe mental health issues I have sought help and I haven't gone down without a fight. I know I couldn't ever let my children go through my suicide. So, that is the line I won't cross.
Is being more likely to be caring for children, as well as a general sense of responsibility for others' emotions, is a protective factor for women?
Also - you don't sound self-pitying. I get it. 
enough there is a shocking lack of resources for mental health and to me, THAT should be the focus of our frustration and fury - trying to get support for all young people with mental health problems is a national disgrace.
Erm, and people who arent young? But yeh, this. That's why it worries me when things are so stretched that there's this unhelpful, simplistic narrative around male suicide rates. We need more resources, not shunting over the ones currently helping women to men.
And I've seen this narrative in practice - men who are struggling have support from women, including excuses made for unpleasant behaviour, whilst women struggling have to get on with it to some degree. This is amongst fairly middle class, educated, left-leaning types so I doubt it's representative (these people will be well aware of "men dont open up" type stuff) but it is concerning to see it taking hold.
As for "cries for help"... The general narrative seem to be that men need to seek help then all will be well. But women who seek help, don't get it, and continue with more desperate and dangerous help-seeking behaviour, are dismissed as attention-seeking (as Icantreach points out). It's a weird sort of paradox where to be taken seriously you need to be dead. 
So there is also an element of we can encourage men to seek help but there is a lot more to be done to make sure they (and women) actually get it.
Chardonnay Or did you mean they shout the loudest by killing themselves?
I put "shout the loudest" in quote marks for a reason. The individual men might not be "shouting the loudest", but collectively by being more likely to kill themsleves they are, metaphorically.
NoLove going by the latest figures, the rate of male suicide is decreasing whereas the rate of female suicide is increasing
Ah, steps towards sex equality..!
We need to reduce the male suicide rate without negatively impacting on females.