The fact that being stoic, emotionless or even cold is seen as a trait of masculinity is incredibly frustrating. I feel men should be encouraged to be passionate and expressive with their emotions. Anger shouldn't be the only one we encourage as a society. Have you ever seen a man glow up about his lego collection, or cry at a beautiful scene in a movie they love? More of that please.
Also, men are just as deserving of support networks as anyone else. Though we all experience life differently, we are all human in the end.
As someone who presents masculine, I have gotten the "be a man" treatment from women several times. Ultimately it does come from a patriarchal standard of society, but its something that is perpetuated by everyone, consciously or otherwise. Not discounting what you are saying, but I think it's important to highlight that toxic masculinity can come from anywhere.