bro-page is not in the same category as "sudo make me sandwich". There is no sexism in that name. Just because it is named "bro" doesn't mean it's sexist. We have girls who like to be called bro. I remember in one of the earliest episode in Family Guys, Lorie said "I respect your feminist initiative and being feminist means I have a choice and I choose not to be like you."
If you force people to feel like the name is sexist, you are making it sexist. If you are so paranoid about sexism that's because we have made many things sexist. Do people ever call a poem using masculine words sexist when some are just completely fine and have nothing to do with people degrading female or male? Ever heard of that?