You're outlining a competition for school choice, not a competition for education. Competition for an admittance testing rubric, which habitually gets sidestepped, not competition for an education. Your choice of field or job is not an education either.

Your stats are off too. Not all 100% of graduating seniors want to be a doctor or go to law school. They're not taking the LSAT or thr MCAT. Ergo, you're not competing against them for a medical degree or a license to practice law.

You don't even have to go to law school in some places to sit the bar exam, so your statement is false, or not universally true. Plus, the bar exam is either pass or fail. You pass, you have a license to practice law. Fail and you do not. So again, you are your only competition.