Hi again, Barrels are interchangable either way, though often require professional fitting. The k-32 triggers can be updated to k-80 triggers with k-80 parts, they don't just swap them out, goes from v-spring to coil spring, more reliable, perhaps a little more crisp if thats possible, k-32 triggers are great for feel.
k-80 stocks fit k-32s with no work, k-32 stocks can fit k-80's with a little modification around the where the trigger guard meets the wood.
The hood latches are interchangable, trigger guards, the receivers and forend irons are virtually identical in allways except for the few above.
Blued k-32 were just steel, my k-32 is a titianium alloy lw model that only a few of made it to north america. The k-80 is case hardened steel, which is why it has to be engraved before it leaves the factory.
They both feature mechanical, selective triggers, depending on the model skeet, trap, sporting, you could get different ribs high post, flat, tapered etc. which you could and can get on either k-32 or k-80
Often you'll see a k-80 forsale that someone bought k-32 barrels and had them fitted to their k-80, because custom ordering a 4 barrel set from krieghoff today is ridculously priced.
Hope that all helps
Cheers gwagen