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.

The fact that you’re registered is wild to me. One of the few things my state has right is having open primaries imo

It depends for me. The labels aren’t really useful if I don’t know the person. One kid I interacted with over a few months said enough in line with fascism that I call him that. Someone just telling me they’re communist, anarchist, liberal isn’t enough to really get their actual beliefs, given how much overlap and misuse of the terms there is. I will generally vibe with a more left leaning person, of course, so if any of those labels are used I’m like, cool, we’ll probably have good conversations. Even conservatives I’m opening up to. Republicans? My God. I blame my mental illnesses on that brain rot.