It's obvious that the series was filmed after HW which is why moves like Elixir Field and BRD LB3 were used. Since it seems like they used the real in game characters for the shooting of the show, most likely the players themselves didn't want to gather the myth gear needed to remove the anachronisms in the gear. A little bit of suspension of disbelief required for knowledgeable FFXIV players but the JDrama wasn't focused on that type of in-game footage in my opinion.

Sorta wish the blog translating the blog while it chronicled this Dad of Light adventure was further along to see if the dad still played. His name's not listed in the blog but the person's blog is and Maidy Maidy is in fact their character... It would have been funny as hell as an FFXIV player to see what might have happened in the case of "My dad plays Monster Hunter, he probably looked up FFXIV blogs... OH SHIT MY BLOG IS ONE OF THE MAIN GUIDES HAS HE FOUND OUT ABOUT ME????"