Not true of the Regular Freemasons at any rate - "The attitude of most regular Anglo-American grand lodges remains that women Freemasons are not legitimate Masons" (Wikipedia).
edit:spelling
it is one thing to create a space exclusive for men but quite another to not allow women to do the same, or reject mixed groups.
that would be like saying that girl-scouts are not legitimate or to reject mixed-gender scout groups.
that's not creating a space for men but it's exactly the kind of gate-keeping men are being accused of doing for centuries.
Just what are men gatekeeping when they associate with each other without women, other than maybe their own attention? If you want better men, they need to learn it from each other.
i am not against male only groups, i just don't like male (or female) only groups claiming a domain for themselves. if there are male only masonry groups, there should also be female or mixed masonry groups. just like we have male and female and mixed soccer groups or other sports. nobody should be saying that women are not allowed to do something as such an activity is reserved for men. (and the reverse)
boy scouts and girl scouts are explicitly recognizing each other as two different forms of the same activity. saying that girl scouts are not recognized as boy scouts makes no sense. both are scouts (even in countries where the girls call themselves guides)
but you said above that mixed lodges are not recognized. that makes no sense to me, unless they deviate from the ideal of masonry in other ways than just gender. unrecognized scout groups do exist too, for various reasons. the gender of their members is not one of them.