Hermione is a rule follower. She wouldn't destroy Azkaban if she had a button she could press that would do so.
She also knows exactly what it's like to be an innocent sentenced to Azkaban for a crime they didn't commit, and how easy it is for such a thing to happen. You can't go through an experience like that without re-evaluating some things about how you see the world.
Also she can't kill even one Dementor, or even cast a patronus to prevent one from killing her.
The point of the above post, I believe, is that there is nothing stopping her from learning to cast Patronus 2.0, at which point it's plausible that the infinite unicorn blood would replenish her life-force so killing Dementors wouldn't end up draining it all.
It's not entirely clear how Hermione's troll/unicorn stuff interacts with the depletion of life-force necessary to fuel the Patronus. That said, she has a Horcrux, so at the end of the day it doesn't really matter. And if Harry can eventually destroy Azkaban, Hermione certainly can.
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 116.
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.)