Let's be quite clear here - this is counseling the abused to not react to people abusing them. A basic modicum of respect for others is all that should be needed to make it very clear that making rape jokes in a public setting is completely inappropriate for a variety of reasons. Arguing that people that have been abused have an obligation to those who would make rape jokes to "not react emotionally" is complete fucking bullshit in the same way that it's complete fucking bullshit to tell a minority not to get offended when someone calls them a wetback, a nigger, or some other racial slur. The person who said the words has a responsibility to make sure those words are appropriate for that audience, and any reaction they may get because they didn't properly think through who their audience actually is is completely deserved.
The starter for the behavior here isn't the person who's been abused lashing out and "needing to control their emotions" (ie, an abused person lashing out for no reason), it's someone making an insensitive comment, and then that person rightly being called on their shit behavior. Free speech puts the responsibility of what is said on the speaker - if you don't like the idea that someone's going to politely tell you to stop, don't make a fucking rape joke.
I'm sorry but intent is meaningless. You do shitty things, you own those shitty things, and you try and make up for them by undoing the harm that you did. Claiming "but I didn't MEAN it" is just dropping your responsibility and dancing away without ever making a real, tangible effort to actually undo the harm you did. If you called everyone a nigger because that's just how you were raised and you didn't actually mean it like that, failing to examine that and change your behavior when you're called on it actually just makes you racist, because your actions continue to support and encourage racism in others. Same is true of sexism and rape jokes.
BARF isn't a living room, it's an auditorium - there's a lot more people listening then there are speaking. People should think about that, and if people want to make rape jokes and other offcolor jokes, there's plenty of other places on the internet where you can be in an environment that encourages that. Unsurprisingly, they're all cesspools.