There is always the law of diminishing marginal utility which puts an end to this. There is no such thing as endlessly increasing success, as eating 100 bars of chocolate doesn't bring you 100x more fun than eating 1 bar.

Also, even the kids with all resources imaginable may turn out failures. There are enough examples of rich kids with severe drug and alcohol problems, as well as mental problems like depression and gambling. You could argue that this doesn't matter, as they will always have been handed lucrative positions. But there also is a limit to these positions, as any company will begin to suffer if too many incompetent and useless people are sucking it dry. Someday, somewhere along the way, even the most pampered kid of the most inherited wealth will have to prove itself and will have to bring adequate performance and will fail at that, if it misses the necessary skills.

In general, the whole Ivy League thing is a big scam. The quality of the education there is detoriating fast, maybe even in the law and economics departments. The Ivy League degree has been reduced only to the "club member card" you need to have to be able to apply for the top positions. It doesn't necessarily give you the skills to be successful in your discipline, anymore. But you still need to have marketable and high quality skills to become successful and compete on the job market. If you are not useful and not able to produce decent results, all those fancy degrees and daddy's influence still won't help you.