This proves to have a more complicated question than you might think. Over the decades, I’ve had several surreal exchanges with Old Geezer and others from the ur-D&D scene about what it means to have something as an inspiration. They have all assured me, clearly, that it does not mean characters being able to do things protagonists in inspirational stories do, nor events like those in the inspirational stories happen. This seems so weird to me that I’ve asked for clarification in follow-ups, to make sure I wasn’t misunderstanding. Because when I say that Game X has story Y as an inspiration, I mean get it has made an effort to provide support for characters and events like Y. For them, so nearly as I can tell, it means that you think about it while playing, but don’t and generally shouldn’t try to make the game more like it.
I don’t get that. But I’m confident that I’m not just failing to understand that they actually mean something like I do, just in different words.