I'm pretty sure each day a villager will act surprised to see you and then suggest they move, but it won't happen right away. or at least this happens to me. After you spent like an hour or two on one day and then TT to the next day you might get more of a chance of them suggesting they move but if you TT a month ahead I don't think much will happen? idk I'm not an expert at this haha I barely TT