I think it's less to do with Josh being called a pedo, and more of the fact that Gator and Ralph intentionally take what happened and twist it to fit a definition to make a perceived enemy seem worse than he is. Josh isn't a pedophile. He didn't even run an imageboard that was intended to be perused by pedophiles. He ran a board that acted as a containment for loli- and shota-posting, but he then shut it down when he saw the individuals posting there were very clearly....not right. At best. So because he did something with the intention of containing people, he is somehow a pedophile himself, even though he took steps to shut it down when he saw he was unintentionally facilitating these motherfuckers sexual fantasies. He also changed his stance on lolicon after that, too, whereas Gator not so long ago was praising lolicon on his Aniboomers podcast.
By his own logic, Gator is a pedophile for being pro-lolicon.