While law school admissions is very heavily stats (LSAT and college GPA) based, for medical school admission, stats are just the basic academic qualification to avoid immediate auto-rejection. Many other criteria are considered in medical school application reading and (for those who pass application reading) interviews.
https://www.aamc.org/media/6091/download shows that even the top right box applicants with >3.79 college GPA and >517 MCAT have an 82.9% chance of admission to a medical school (not necessarily what some people may consider a more “elite” one). All medical schools in the US should be considered “elite” in terms of admission selectivity, most applicants get 0 admissions, and most who get admitted get 1 admission.
Some of the most popular and selective medical schools are the ones with lower or no tuition, since many medical students prefer to end up with $120k-200k instead of $400k medical school debt.