Now that I've had a chance to read it, I was going to comment on the Administrator's motivations and try to conjecture at what the different title cards mean, but I've thought about it a little more and it feels like the writers lost the plot, either on accident or on purpose. I mean it has been awhile. Maybe they had a mostly fleshed out idea and parts of it didn't quite work, so they rewrote it. Maybe that happened a few times before they realized that the most satisfying ending would not be why it ended, but that it ended. So they gloss over some of the motivations and loose ends, and focused on beautiful art and simple, satisfying closure. I enjoyed it!
I might also be overstepping in my interpretation (and also trying to condense a complex point worse than professional writers), but I liked that they ended with the point about finiteness of this all in contrast of a never ending game and story that revolves around cheating death.