If some men are resistant to recognizing that they are socialized and indoctrinated into a small box of restrictive norms around what it means to be a man, there is no terminology that will be acceptable to them. We can go back to calling it Toxic Masculinity if you prefer…

Most men adhere to at least some aspects of the Man Box - which is what the Equimundo study illuminates.

"Some men are able to reject restrictive, negative social pressures related to masculinity, but many embrace these pressures and rules, as well as the version of manhood they represent. Young men in all three countries overwhelmingly reject notions of manhood that imply that men are superior to women or that men should not care for children. However, they show strong support for toughness and the repression of emotions. Indeed, while men in the three countries have come a long way toward accepting equality between women and men, they still have a long way to go to break free of norms that hold them in emotionally straightjacketed forms of manhood." (emphasis mine).

And, as was the thesis of this OP, even the men who don't do these things or don't confine themselves to Man Box norms have a responsibility to help shift how masculinity in constructed in this culture to what the APA refers to as more pro-social ones.

90% of violence is perpetrated by men - against women and children, but also against other men

90% of rape is perpetrated by men - against both women and men

90% of the sort of domestic violence that is an attempt to control the other person is perpetrated by men.

85% of American women started getting sexually harassed in childhood.

This isn't being done by monsters or aliens - it's being done by everyday men acting out scrips of masculinity as it is constructed in this culture. Pretending that isn't the case because it hurts some widdle feewings isn't very "manly" if you ask me.

Men’s violence against women is a pervasive social phenomenon with deep roots in existing personal, social, and institutional arrangements. In order for people to understand and ultimately work together to prevent it, it is first necessary for them to engage in a great deal of personal and collective introspection. This introspection can be especially threatening to men, because as perpetrators and bystanders, they are responsible for the bulk of the problem.

Katz, Jackson. The Macho Paradox (p. 24). Sourcebooks. Kindle Edition.