it is necessary to have something to get notified about feedback? it will be better for the user to take action against the feedback if it's false or true.
Not all notifications are needed, your idea is one of them.
I don't need notifications in case I get feedback from someone, I can check the trust page every once in a while to find out something new. If it comes from a non-DT user and they wrote wrong feedback, then I think you should just ask him to remove it from your profile no matter when he sent you it.