They are easy at making up lies they are narcassitic manipulators. I would only think they have a delusional mindset and need help. I only see them as people who need (Instense therapy) as I feel sad that they see such a weird view of the world and have no sense of care for other. So no I would say they don't have a care but it could depend on how two faced they truly are. Every two faced person is different in there own way and have there own thoughts and characteristic but then you wouldn't be calling them two faced would you so yes all two faces people don't care about other's I rest my fictional case.
What I typed could be seen as a exagerated explanation but it's the truth in what should be done because those people never really change. You should stay far away from them.