I'm not in favor of eliminating the SAT. I don't necessarily believe that SAT prep is materially impactful (I think it improves scores, but not, like, up a tier of selectivity). But
all of the SAT improvement factors available to well-off families certainly do materially improve scores; those improvements include not just SAT prep, but also taking the test multiple times, having your results tracked by family and being forced to take the test multiple times, and disability accommodations, which are rampantly abused.
Low SES families are not taking the SAT on a level playing field with high SES families.