Again, you're not calling it oppression? Are you sure?
Who, exactly, are the women's rights/awareness groups striving to make women's rights and access equal to? It shouldn't take long to work it out when you consider the sort of binary thinking in institutions. It's "equality with men". Identifying an area that is of greater concern to men does not equate that to "rights" and particularly not "rights never given"... because they were given centuries ago.
It makes absolute sense that the group's continued emphasis would be on furthering women's rights and equality. There are very few areas where "men's rights" are unequal to women's, although there are numerous areas of concern to men that do need addressing.... just not as a right's issue, as a concern issue or issue issue.