Indeed, man is short for manual. It has nothing to do with men, or beards or bros crushing code. The term "bro" when it comes to programming really needs to go away.
a) How about "brochure"? b) Someone that runs for the hills when seeing a command called "bro", will also run from "man" even before they now about eithers meaning. Of course, these poeple don't exist, because anyone using this is a grown up man or woman.
This is actually a very, very good idea. Everybody knows it, it means one thing and one thing only, and that thing also describes what it does, it probably isn't taken, and fits nicely with all other standard descriptive commands like ls/man/... Nice one.