That gets back to "which passenger is more important than the other."
Say Dao wasn't a Dr, but instead was flying on an emergency ticket to see his dying father on life support. Or his wife's funeral. Or he is a doctor and has surgeries the following day he must attend to. Or maybe he works at a job where they are not lenient and he will certainly be penalized, if not fired, if he doesn't show up for work on Monday for his shift. What if he is a Congressman who has an important vote in the morning? What if he is a professor and has a speech to give at a conference in front of 1,000 people in the morning?
Oh but the computer still chose them so tough luck suck it up.