I really don't see the name bro-page being sexist or evidence of ignoring feminist audience. It sounds genuine. It isn't like the author have a female model in the bro page documentation.
Rather than spending the first 50 comments on this gender flame war, why don't we talk about what makes man page useful and not useful. What makes sites like explainshell and bropage useful and not useful.
I am not sure how it's disrespectful. If the annoying and stupid part comes from the popular culture use of "bro" in movie and street, well maybe it's the environment the person is in. I have met a girl from another country and whoever she talks to she would address the person as sir or madam. It sounds respectful but after a while it sounds annoying and stupid because she can just call the person Mr. X or Mrs. X.