She didn't mention their names because she didn't have to; she deliberately took the photo to show the names on their badges and
specifically (even saying so in her blog post, which actually acts to incriminate her more than it does to justify her actions) because one of them was a sponsor and she wanted to get that fact on file. She set out to humiliate these men in front of her thousands of followers and make a mockery of them and their behavior. Neither of them had the means to even begin to refute her claims before they were burned at the stake, and this guy lost his job before most of us even knew this happened.
That is the very definition of dragging someone's reputation through the mud.