When statistics show a over-representation for a disadvantage for women, its men and male culture fault.
It must be that it is very convenient to blame men and male culture, but honestly I have a hard time seeing any truth in that. Suicide is connected with depression, culture and unemployment. We know from studies that men are more often misdiagnosed when it comes to depression, with experiments where doctors rate identical profiles more correctly if the name is that of a woman. We also know that culture has a major impact on suicide rates with a strong link to gender expectations, the same gender expectation that researcher suggest is causing misdiagnoses for depression in men. We also know there is a strong correlation for increased suicide rates for men when unemployment goes up but not for women, again pointing towards gender expectations as the culprit.
If we ignore that, at least make a study and look if men who do not express emotions is a valid predictor for suicide. I expect it is not but it would make for a interesting validation to read.