Thank goodness this never happened to me cause my parents were good parents, it’s just as much the childrens home as the parents and children should be allowed to say “I don’t feel comfortable with another man or woman living hear” Its the parents responsibility to make sure their children are comfortable and feel safe around a new adult. The parent should plan a public meet and greet parent, child, step and after each one the children should have the right to say no more and it end there.
That’s a good point, I guess I’d add that it’s fine to keep seeing them or even to allow them over for dinner or to game night, but giving children time to get to know them and like them before officially moving in.