off the top of my head, the last few charities GG has submitted to, under the banner of the hashtag, have been:
1. The excess funds for TFYC (an issue in itself) that went to a colon cancer society to help fight "butt hurt"
and
2. A suicide prevention hotline that they were giving when they (obviously erroneously) thought Zoe did not give money to in some sort of spite campaign. When it turned out she had donated, they were harassed
So I don't think it's cynical to think that the current wave to donate to an anti-bullying foundation (which does what exactly?) in the wake of mainstream attention that they're getting as a group that fosters and harbors harassers isn't some bullshit PR move. Added to that is the fact that it's already now a bullet point in the "told you so" campaign that GG seems most concerned with at this point, outside of any actual concerns. The war now is one of public perception and I haven't seen a legitimate concern of journalistic integrity in awhile beyond "this journalist said something bad about us."
Just on the bolded, I think the reason the guy suggested anti-bullying is Gawker media had some graphic on their site saying Gawker media supports Anti-bullying month, which is apparently happening through October in the US. So I think its some campaign or charity Gawker is supporting and not GG people.