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Core mechanics on Damnation haven't changed, it still requires damaged head and hellsight. However, there have been a lot of other changes to mechanics that affect it, notably:
There are a couple of things you can do as Sword and Shield with the unique mechanics that make Damnation quite a bit easier when you don't have artefacts, since you can prone on a leg break without sacrificing afflictions with shieldstrike low and can force off focus balance with smash high. Happy to run you through how it all works in-game.
Results of disembowel testing | Knight limb counter | GMCP AB files