The fact that Hedwig can see the truth, when witches and wizards cannot certainly isn't anything for the wizarding world to brag about. The fact that they continue to willing accept any guilty party is a telling echo of our own world.
You did an excellent job with Hedwig's POV. If you ever decide to write about her adventures after she left, like the other owls she met or the things she saw, I'll be sure to stop by for a read.