Look at when comedians say something offensive. They either realise they went too far, or they stand by their joke. I've never personally heard a situation where a comedian causes mass offence and weaselly apologizes saying he's sorry but wishes his audience would grow up. Because it doesn't happen, because they're in the business of tastefully offending people.
The problem is that douches like the guys running Boston API Jam have no social connection with women that they can't even understand why normal people are offended by this.
These non-apologies are pretty common from politicians ("Mistakes were made") to comedians (Adam Carolla: "I'm sorry my comments were hurtful. I'm a comedian, not a politician.") And there's a reason for that.
It this case it doesn't apply, it was just a lame attempt at humor. But in other cases there are whole organizations involved, with funding and lawyers and many of those organizations are simply bullies who manufacture controversies to show their importance (black hole/black hoe thing, Tracy Morgan offending some group). The best response would be to stand up to the bully: ramp up the joke, go further, but usually it would hurt too many bystanders who just happen to be in the group the bully pretends to represent or isn't feasible for other reasons so bullied public figures go with the next best thing -- a non-apology.
The problem is that douches like the guys running Boston API Jam have no social connection with women that they can't even understand why normal people are offended by this.