I think that you are both wrong and right. Societal treatment of mental health issues is indeed quite poor regardless of gender. However, it is important to realize that there ARE differences that relate directly to one’s presenting gender.
Just as women are not taken seriously by health professionals, men are frequently treated as less-than by western culture at-large, if we show anything but chauvinistic bravado. This lack of care has had a profound impact on both young and old men who have any mental illness, leading to isolation, and becoming vulnerable to radicalization by those actively preying on them and using them as tools of violence or suicide.
It’s a real, gender-specific problem that is well-encapsulated in the proverb “A child not embraced by the village will burn it down to feel its warmth.”