The very first version of Part 2 was built differently. No Administrator, no Sinon, no "Where is Asuna?" and "What do to do next?" on phone, Kirito could access Inoda's Blog and remember everything. He will even comment on the first 2 videos!
You can make the argument in the beginning of the blog entries he can't identify Asuna because he can't see her face but by at least 6/6 entry when he sees the image of someone in Asuna's and Liz's outfit in Karaoke, there is no logical way Kirito cannot know the blog is about Asuna without being completely braindead. Since Fujino wanted his Kirito with some brain activity, he changed it so Kirito forgets the blog after seeing it.
Maybe Fujino will add more Kirito comments in future blog videos. Imagine Kirito slowly loses his mind as he watches more videos but then his mind resets after closing the blog!
View attachment 3697677
View attachment 3697680
View attachment 3697696