Why do you keep trying to make this about her family, though? Arya being tamed is not about her love for her family, she wants to be with them again, going back to her "pack" doesn't tame her, just like Nymeria going back doesn't either. Nymeria going with humans is being tamed, Arya becoming a lady and going against her nature, like she asked Nymeria to do in this episode, is being tamed. The metaphor of being tamed doesn't crumble if she goes back to her family, it only crumbles because you're trying to make the metaphor in that scene something it wasn't. This is not a failing of the show or its writers, but you trying to see something that is not there.