Erm... a basic law of MoR is that people gain maturity/competence in proportion to how much hell they've been through. This creates a power balance problem where Harry, as main character, has been to Azkaban and Hermione hasn't, and fighting bullies isn't quite enough to make up for that. However, I would indeed maintain as a literary matter that this Hermione has been through more hell than the quoted canon!Hermione and is visibly more powerful and competent. Methods!Hermione doesn't flee in tears if Ron calls her a nightmare, though she would've at the start of the year. She probably wouldn't even notice.