+1 what LawofThirds said. The way I shoot I'd have a very hard time getting accustom to the P250 trigger. I don't like the DAK's either. The reset is shorter on subsequent shots if you use the first reset point. About 1/3 of the normak DAK travel. But it is a harder pull. HK LEM I could maybe warm up to, and I have no issue with Glocks or XD's.
To answer your question on how the DAK system works. It is of course a DAO system. But uses leverage advantage to overcome the normal heavy pull you see on DA/SA pistols which most are about 9+ lbs. \
That sounds confusing, but if you handle a DAK for awhile you figure it out. If for example you are practice dry firing a regular DAO or a DA/SA in DA mode only, you pull the trigger, the hammer cocks and then falls. Every time. With the DAK, if you rack the slide, that pre-cocks the hammer. Not all the way cocked but partially. When you pull the trigger, the hammer is brought to full cock then released to fall. In its condition, if you dry fire again, it's going to be about 2 lbs heavier because the hammer is not in the partial cock position. A partial rack of the slide will put the hammer in the precock postion. Of course this is not an issue during live fire because the slide cycle pre-cocks the hammer just as it does in a DA/SA system, only it does it part way. Then there are two reset points for subsequent shots. If you let the trigger return all of the way and you get the standard light 7 lb pull as the first shot. But if you use the first reset point which is about 1/3 of the travel, you don't get the mechanical leverage advantage, and the pull is about 2 lbs harder.