I traveled back from abhu dhabi recently , which has pre clearance. I was on fam-based emergency parole while travelling back. They took me to secondary inspection room. But no question was asked. I just had to fill custom clearance form . It seems like the officer in secondary room has to close the advance parole cases while entering back. At least for emergency advance parole I can say that . Basically I did not have any other valid visa to enter at that time as my H1 was not stamped.