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.
Not the same thing if they object to a stranger living in their home, and you let them in anyway, they feel less safe and now if they come to you because that person does something bad you’re more likely to question whether they’re being truthful or not. It’s literally the case for so many parents who think their kids are just trying to lie to get then out the house.
It’s not that hard to wait to move them in. Let them come over for dinner or game night and let kids get comfortable and like them first.