How to kick villagers out via campsite?

I've been having Rosie come over the past 3 days (amiibo card) and I don't have a free plot on my island, but I've seen pictures of a "negotiation" screen coming up once they say Resident Services said there's no room, however I have not gotten this screen at all with Rosie?

I'm constantly trying to talk to her and she just says "It's not like this island is lacking in space ... How do folks here feel about squatter's rights? Just kidding, I'd rather buy legit land than live off the grid. But thanks for the invite. Guess it's not going to work out this time."

I have not even been given a prompt to ask her to stay/negotiate (I don't even know if that exists).

Is it just her Preppy character type that doesn't allow her to ask to negotiate someone to leave? Is it random if a campsite villager asks to negotiate? I'm really bummed out.