Josephine's response is enough to tell Hermione that no, she doesn't know the full story. Unfortunately, Hermione isn't in any mindset to divulge the details, so she tries to figure out how best to reply.

"It was," she agrees, and for a moment, it seems as though she's going to leave it at that. Then she takes a breath and adds, "We were supposed to protect people but... I'm not sure if we did more harm or good."