“Unqualified applicants shouldn’t be admitted to elite schools because their parents are well-connected.”
This is your problem. You presume they are unqualified and then use anecdotes about children of celebrities and politicians. Study after study proves out that legacies at the top 30 schools have higher qualifications than the average student. If you think this group is going to help you out on exams graded on a curve, you might be in for a rude awakening.