I would come right out and ask about why they are needing to change daycare and then make a judgement based on how much they hem and haw before speaking as if making up a story. I have had immediate care requests and reasons have included provider is pregnant and doctor put her on bed rest so kids had to go, family emergency of provider so she was closing her daycare and this family chose to move on immediately rather than hope she reopened but had no warning of the closure, parent arriving to find child outside unsupervised or other negative thing going on and moved them immediately as far as care was concerned.

On the other side yes I have had the kicked out kind contact me. The older the child is the more likely they were released but not always of course.

The good news is that if the family was released it obviously caught them off guard and they can turn out to be your best family because they know they need to do things differently the second time around.

Do ask them to be honest because there is no sense in getting into a new relationship and having things go bad due to not full disclosure. Not fair to child to get into new home only to be pulled again. Saying that should get you the information you need to make your decision.