She probably didn't want to get them fired. But it's hard to argue that she didn't want to cause them real damage, at the very least to their reputation. And it should be plainly obvious to someone with a media presence that anything negative they say about someone will ripple well beyond that person's own realm of control.
Everyone says things in private they wouldn't want their employer to hear. People curse outside of work. People drink and smoke. People break the law. They don't get fired for it because there's no one taking pictures of it and blasting it across the Internet. What we have here is irresponsible disclosure. You might not be able to forecast the full effect of such an action, but you have to know it's not going to be good for anyone involved.
> Everyone says things in private they wouldn't want their employer to hear.
That's the difference in this case. The men in question were not in the personal life having a private discussion, they were attending a conference that their employer was a sponsor of and they were marked as being representatives of that sponsor company via their badges. They are already damaging their own and their company's reputation by making dumb sexist jokes at a professional-for-them event.
Until the day a man feels equally comfortable telling a sex-related joke to a woman as to another man, all such jokes are, by definition, sexist. We as a society are not open towards sex and the real sexist men feel that it is to their advantage that women should feel more embarrassed about sex jokes, even a woman have no reason whatsoever to feel that way.
You make a key point: the men were not in their personal lives having a private conversation. I also used your "professional-for-them" in another post.
Everyone says things in private they wouldn't want their employer to hear. People curse outside of work. People drink and smoke. People break the law. They don't get fired for it because there's no one taking pictures of it and blasting it across the Internet. What we have here is irresponsible disclosure. You might not be able to forecast the full effect of such an action, but you have to know it's not going to be good for anyone involved.