I thought that case hardening was good for puddled/wroght iron which is very pure iron with a slag inclusion. Case hardening allowed a thin, glass hard, gall reistant skin to be applied. A very slippery surface that allowed all sorts of unlikely lever systems to work a treat.
However it would not hold a fine edge, which is why they started wrapping iron in leather and toenail clippings etc and then baking them to get carbon in to the surface before melting the whole shebang so they could remove the slag but keep the carbon as an even distribution. The so called crucible steel or Marshall's iron.
Then Henry Bessemer invented his converter c1860, all things became possible and they eventually started introducing lead to stop the iron crystallising and made the material "free cutting" and totally resistant to case hardening.
Case hardening carbon steel is possible but how to harden just the surface? If you temper you lose the glass hard coating that works so well.
I realise my brains are somewhat addled, but I don't think I can be 100% wrong here