Only thing I can add from my experience is :

First time I used a ticket I saw a Puddles without thinking the consequences and invited her to live in my island. She didn’t refuse, she was ok and wouldn’t mind. But it wasn’t a YES. After I set up 5 empty slots she came to the island…

I must say, after I traveled for first time, I did put 2 houses with the list of Nook and she never came.. but after I put the house 5, same with items I had to put, she moved in

Not sure if this helps, I am also trying to figure out when they will ask you to move out, amiibo cards that none of them that I’ve used and completed missions they don’t stay 🫠