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I'm sympathetic to this cause but I think it's complicated by the fact that 'toxic masculinity' was often used as a pejorative by feminists to criticize large swathes of men. That kind of discourse is guaranteed to make men dig in their heels and avoid change.
A better solution would be to platform men who can explain, in their own terms, the problems with toxic masculinity, and to create a cultural space for a male equivalent of feminism. Of course this would explicitly disempower feminist groups overall so they're against it. They want men to change but only so long as they're the architects of what a healthy masculinity looks like while structurally eschewing male input at the leadership level, thereby allowing feminism to become synonymous with all gender discourse despite feminists being predominantly concerned with women's issues.