Some people would probably be more consciously aware than others of the fact that the 3 letters "bro" are a reference to "bro culture". Here are a few groups of people whom I think would be most likely to notice: People new to tech; women who've had bad experience with "brogrammer" types; "brogrammer" types themselves. It seems like a bad idea to adopt any policy likely to make the first two of those groups uncomfortable while signaling approval toward the third.
[0] Side notes: 1. Those professions are making a real effort to change these patterns to be more inclusive, too. And 2. Gender inequality in tech is nevertheless a more pressing problem than gender inequality in nursing, because tech is considered a higher status career.
Man, woman, brother... next command should be sister. Its a themed naming scheme.
But my point is that very few people will even think about a command they type in, especially if its just 3 letters. There are only so many 3 letter combinations, and even fewer that represent words.