Right, but she didn't have a reason to look at the note before she died, doesn't have the note on her person in the hospital, and even if she did she doesn't have a reason to look at the note now.
I'm not sure what you're arguing against. In the event that she decides to destroy the Dementors, which Harry anticipates to happen quite soon, she knows that the information she needs to be able to do so is already in her possession.
This is a new thread to discuss Eliezer Yudkowsky’s Harry Potter and the Methods of Rationality and anything related to it. This thread is intended for discussing chapter 119.
Plans for next chapter release:
There is a site dedicated to the story at hpmor.com, which is now the place to go to find the authors notes and all sorts of other goodies. AdeleneDawner has kept an archive of Author’s Notes. (This goes up to the notes for chapter 76, and is now not updating. The authors notes from chapter 77 onwards are on hpmor.com.)