I just bought mine a few weeks ago. Upon unpackaging it, I found it to be in rough shape, with a chewed stock and a lot of worn bluing. When I took the bolt out and looked down through the barrel, though, I was astounded to see the nicest, cleanest, strongest, most mirror bright rifling that I've ever seen in a military rifle in my life. It was as if my rifle, from 1941, had just walked out of a factory!
I haven't yet gotten to accuracy test it yet, but I'm not a strong shooter with irons anyway, so I have no doubt that it's capable of at least MOA accuracy. Surplus GP11 ammo is also impressive, and still within reasonable price. My K31 easily has some of the nicest tolerances and metalwork I've ever seen, and if I had the money to spare I'd buy a whole closet-full.
The only problem with it is that the bolt throw is very long, and so it's hard to maintain a cheek weld when firing, I find. You have to position yourself far back on the stock. It also only has side-mounted sling mounts, which get in the way when shooting and are wholly unsuited to sling-supported shooting. When you take that off, I find that the stock is incredibly well constructed and very comfortable. Definitely nicer than my Enfield or Mauser stocks by far.