See, this is what I thought initially: “I’m a man” is an indirect expression of values. And in more thoughtful men, traditional or otherwise, they may be able to articulate their values. So, I think this is probably the best answer.
But then there’s the obvious question of why those values embody being a man only. Why can’t women value the same thing and have the same type of expression? This part of the traditional manliness-as-values makes absolutely no sense to me. It seems unnecessarily restrictive.