Advance Parole can depends on your case of field office it falls in with your work permit if u submitted both at the same time, I have used mine in the pass going home was easy coming back I got stopped but only because of some dates and stamps in my passport everyone experience is different. Just remember anyone can be stopped and I don’t think if they stop u it would be because u are traveling on the documents it would most likely be random check or something need to be updated in the system. Go with faith and good luck.