@LittleBabiesBelly,
Yes - I think any friend should stand up for another friend if someone else is being mean or insulting towards them. Especially if it is the other friend's (meaning the one not being insulted) family or friends.
That person is closer to these other individuals and knows them better so it makes sense s/he speaks up. Seeing the insulted person really does know them so well, of course they would be more uncomfortable speaking up.
To me it doesn't matter whether male or female or whether couple or just close friends, you need to have your friend's back - otherwise what kind of friend are they?
The only thing I can think that this boyfriend would not speak up is that these family members/friends are not meaning to be insulting; maybe it is there way of joking around just having fun. But if that is the case, you or insulted friend should speak to boyfriend alone and let them know how this hurts them. Maybe he did not realize?