This doesn't track. College admissions tests are a huge area of concern when it comes to institutionalized racism (due to the racial wealth gap). They don't test anything other than an applicant's ability to do well on the test, and that is primarily determined by (a) the applicant's to spend time studying for the test and (b) the applicant's ability to utilize resources to study for the test.
(a) tips testing in favor of the wealthy because poor people cannot afford to spend time studying, and (b) tips testing in favor of the wealthy because poor people cannot afford to spend money on test prep materials.
Compound this with the fact that the tests are fairly expensive themselves, so even retaking the test is often out of the question for people with few means, compared to wealthy students who can retake the test as many times as they like.
The idea that entrance exams balanced things in favor of people from lower socioeconomic classes is, and always has been, a bunch of malarkey.