I wouldn’t divide them that way. I’m a W&L alum, I’ve been back often, and my D23 visited Sewanee last spring. Sewanee reminds me of W&L in the 90s, smartish kids, money, very fratty, not very diverse, beautiful campus. W&L today I think is more like Davidson but more rural, it’s not nearly as fratty as it was 25yrs ago, more intellectual, still beautiful, and still not that diverse. W&L is a much more competitive school to get into than Sewanee. Davidson feels more progressive and more diverse but has a similar vibe to W&L in my opinion. I can’t speak to Rhodes and haven’t been to Duke since they rejected me in 1995 
Someone is bound to point out that W&L has a huge greek participation percentage and they do, but there’s a difference between that and raging frat parties.