@UpFalls
Wow! Lots of great information for me. It's a great help for sure. I can see now how to go about visiting islands for available villagers long enough to find a suitable replacement.
And I learned I am reloading daily going through the process you described without understanding what was meant by the word reload.
I had one camper last week I tried to invite. Since I have 10 villagers I was hopeful s/he would have replaced one of the 3 that I am tiring of. But no! The game selected Boomer to be replaced. And I definitely want to keep him so I said "Nope". I didn't have to reload at that point, it just played out saying there wasn't any available home for the camper (I forget who it was) to move into. I was a bit disappointed because I thought maybe I could pick from a list of potential villager move outs, but no.
I tend to enjoy the villager recycle process. Since I don't have any exposure to any of them, it doesn't bother me. If I get one I don't like and I don't interact with them, they seem to tell me they want to move out in a month or so.