That 'rich kids to better' is a more nuanced thing, not a fundamental flaw, because, after all, that 'rich kids do better' at the SATs and everything else, means that they are actually first-order better candidates for the school.

It's only when you take into consideration the secondary objectives, that the flaws in SATs become evident.

Now, of secondary objectives such as 'economic and racial composition' become the 'primary objective' - then objectively academic exercises like the SAD, grades etc. become irrelevant.

There is the possibility that SAT's are actually a distraction, that and that there might be a better way of determining ability - most of the rest of the world does it somehow.