I presume this was intended for intelligent people, so why not “Lycophobia”?
Because Lycophobia is already a word, and one of the points of this story is that Wolfophobia is a made up word, just like Islamophobia. And in both cases, the words were created by the perpetrators to deflect accurate criticism away from them.
And in general, from an internet writer’s POV, it’s great to create new unique words for a title. It makes search engines go straight to your story, and not 1,000 other preexisting references, as to Lycophobia in this case.