That's it exactly.
I don't want a surgeon working on me or a loved one who was able to LOOK attractive to med school admissions staffers by virtue of high SES and as a result, a more lengthy and prestigious CV.
I want one that really IS better than the rest of his/her peers.
Some of this also comes down to parents who don't know how to pad a child's resume. That is as large a factor in low SES as lack of financial means and opportunity. Parents who have never even attended college themselves aren't much in a position to posit what will look appealing to graduate programs in ten years, and they don't even know to ask about some opportunities, or steer their kids toward them.