I think they missed some minor moments from the Light Novel. Nothing major, just what Eugeo thought about Kirito during couple of moments.

[Light Novel](when Kirito is frantically trying to save Fanatio's life, he says that it'll be alright even if he died but he stops before he says something about what he means by that. That really makes Eugeo wonder about what he's trying to say. To his knowledge, death should be equal to both Fanatio and Kirito but he's somehow saying that it's fine even if he dies. And there's also a scene after Kirito is being ambiguous about whether defeating Administrator is going to solve everything or not, about Kirito having a fun time with Eugeo about spiders being on their backs (Administrator set them out to look for Cardinal in the entire tower), Eugeo silently wonders, in his heart, the question that he has been wanting to ask since forever about who really is Kirito and what's his origin)