There are a couple of ways this could go. One is the theme of recursion, Hermes being obligated to repeat history because of fate, or something that forces gods to take on certain actions. Another explanation is that immortal beings might be bound to losing sanity over time, this concept is present in other pieces of media. And the last one that i can think of, greek gods where never saints, and always have been imperfect and flawed beings, the myths are rich in examples of that. But yes, gods requiring worship can be tied to their powers and well being aswell.
ooo I love the references you are giving. I love greek mythology because the gods feel very much human as well, and it shows that they get jealous and spiteful but kind as well. What argos said kills me every time. They didn't abandon him, they failed him, the gods are flawed. I wonder what would come about continuing the story of the gods becoming more prevent with the hotel.