If the follow up to you saying you’re done is them demanding to keep going, that is coercive and fucked up. I wouldn’t suggest lying in response unless you never plan to see them again, though, or if you feel safe and plan to address it later. It’s just as fucked up to keep up with the lie afterwards as it is to be coercive, imo. Both play coercive, indirect ways of refusing respect, and the tit-for-tat dynamic risks setting up a breeding grounds of resentment for at least the person maintaining a lie. It also denies the coercive person the opportunity for growth.