I don't think this is set in any particular Earth/Universe. I think this is more like a "behind the scenes" type of story where the author will probably take whatever canon references they want from any issue and add it to the story however they see fit for fun or entertainment. They can literally make an Adam West reference if it suited a joke or plot point. Could also be the author never read the comics and/or never thoroughly analyzed the characteristics or histories of other characters aside from the ones they're using. Or the author might just have a deep rooted hatred for Thalia and thinks her to be some cold, unfeeling, psychopath. To be fair the animated movies heavily influenced my view of her (hated her), I would think she was some cold, unfeeling, psychopath too.
