Skipped 13 pages, sorry, but answering the question anyway:
“Why rich people prefer elite schools when most others doesn’t see any wort in it?”
IMO, for at least a portion of the people being discussed ,you have it completely reversed.
Some others “don’t see the worth in it” because they can’t easily afford it.
It’s a classic example of “sour grapes”.
https://www.umass.edu/aesop/content.php?n=10&i=1
IMO.
For the others, some actually know that, based on a particular kid’s objectives and abilities, there really won’t be any additional worth to it.
Many others think the elite schools might be better somehow, but there is no guarantee and they dont really know. So since they can afford it, and don’t have anything better to invest their money in than the future well-being of their kids, they roll the dice and spend the money, in case maybe it might help.
Though there are no guarantees.
Hope that helps.