Dunno what kind of DAK you are familiar with; but the ones I've handled cannot be "decocked in the conventional sense." The hammer is NOT "in the cocked position" when chambered and ready to go; it is nearly flush against the rear of the slide.
One of the reasons the DAK trigger is so miserable is because it has to move the hammer through its entire arc; its not "pre-loaded" like a Glock or an HK LEM.
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Perhaps I'm using the wrong term as far as saying it is cocked? In the first picture above, the hammer is all the way forward, whereas it is in some other position after being loaded. I concur that the position of the hammer in photo 3 is not the full travel position of the hammer when the trigger is pulled.
What is the position of the hammer in that picture called?