The biggest problem is that you're acting as though universities actually want to admit people for the reasons they say they want to admit people for.
If the problem is Goodhart’s law leading to gaming of the wrong metrics, you can solve this with an admissions system that is opaque from the outside
The problem with this one is that a system that is opaque for the outside makes it easy to get away with corruption. Remember how Asian-Americans have bad personalities for the purpose of Harvard admission? That's because you can't pretend someone has a lower score on a standardized test. but you can pretend someone has a lower score on a completely subjective personality test with no way to verify the result.
Remember how Asian-Americans have bad personalities for the purpose of Harvard admission?
Yes, and that's the racism that's criticized here. Or more directly, the system was designed to reduce the amount of Jewish students which it still does and Asian's now get treated similar to Jewish students.
People (whose names often rhyme with Palcolm Sadwell) sometimes suggest replacing the admissions systems of highly selective universities with lotteries. The proposal is that universities would mark a pool of students as ‘good enough’ and then students from that pool would be accepted at random. Here are some arguments for and against this idea, inspired by Julia Galef’s unpopular ideas series. I don’t agree with all these arguments (or even fully endorse any); the point here is just to categorise the arguments worth considering on both sides.
For:
Against:
Thanks to Gytis Daujotas, Cian Mullarkey and Luise Wöhlke for reading drafts of this post.