Apparently this guy had a brain tumor and this wasn't the first time he's publicly embarrassed the company. He tweeted from the RapGenius account "WARREN BUFFETT CAN SUCK MY DICK".
Behavior like that is not acceptable for someone in a position of authority at a company no matter what the context. (It's not clear what Moghadam's specific role at Rap Genius was, but he did have a seat on the board of directors)
It's the same reason that we shouldn't let blind people fly commercial airliners. Flying requires vision. Running a company requires good judgement.
http://www.fastcompany.com/3021564/most-creative-people/how-...
http://www.slate.com/blogs/browbeat/2013/02/22/rap_genius_wa...