So, what does the title, “Hermione’s punishment”, even mean?
Well, it all started when I read OotP and started thinking about Hermione’s character and how much she was changing from the earlier books. She started out as a know-it-all with very poor social skills in PS/SS, and I found her both charming and pitiable. She doesn’t know how the game is played between people her own age, which shows in the relationships she forms and doesn’t form. She knows how to satisfy adults (the teachers), but not her classmates. It’s primarily through Harry and Ron that she starts to really socialize with the other children, it seems.