I'm not making a mistake - I am directly stating that this term does not do a good job at capturing a group in a useful way.
There is ample feminist literature for decades debunking how "male socialization" is used today.
More current, is the concept viewed from intersectional feminism, which criticises the fact that flattening down "male socialization" in this way does a disservice by excluding other, perhaps more prominent social and circumstantial factors which all contribute together, such as race, class, disability, sexuality, nationality, etc.
A more nuanced discussion is necessary, in my opinion, and I dont think I have ever seen "male socialization" used in a constructive context. I most prominently see it used to invalidate (trans) women's genders, hand-wave away poor behaviour, etc.