And yeah I also prefer that Rey’s admission remains. If you watch the scene, all she ever admits is that her parents were nobodies. Only THEN does Kylo proceed to elaborate on what he saw about them. Maybe she doesn’t protest what he is saying about them because she seriously doesn’t remember too much about them beyond that.
In TROS she recalls how her parents reassured her that she would be safe on Jaaku. If she recalled that moment in the throne room, she could just perceive it as her bad parents trying to calm her down so that they can leave.