I’m not sure the world rankings are even that helpful for that either. Just scroll through the list and this point will be obvious.
To be fair, outside of maybe a few universities, most people internationally (I’m talking about your average person, not someone seeking to apply to a prestigious school) won’t have ever heard of the universities that people go crazy about here. There’s only a handful of schools that actually have worldwide prestige.
A school like UPenn or Dartmouth isn’t well-known internationally or prestigious among ordinary people. I have a friend who went to UPenn and his biggest complaint was that nobody seemed to really be impressed by it outside of the US.
Even Yale and Princeton probably aren’t household names but they have cachet among ‘elite’ circles. Stanford is increasing in cachet among the general public but I wouldn’t call it a household name either.
You can bet your house that my grandmother in rural Asia has heard of Harvard though. She’s also heard of Oxford and that’s probably it. A school like Amherst I could bet you my entire life savings that she’d have no idea about.
And law school rankings are meaningless if you really want to talk about prestige. People would rather go to Princeton to become a lawyer as opposed to Penn (when Princeton Law School doesn’t even exist). The prestige of law schools usually comes from their brand names to most people as opposed to the actual quality of the school.
Yale Law School is arguably the most prestigious law school in America to ‘elite lawyers’ but if you ask your average person, they’re going to say Harvard Law School without a question.