I've owned both. I had a P239 SAS with the DAK tirgger, my first EDC CCW. I liked the trigger on it, as much as the safety factor firing it as anything. It took me quite a while to find out what it really was doing and the purpose. The DAK did have a shorter reset but with the shorter reset the pull was heavier. I found when I tried to use that feature I had to think to hard about it and my shooting was less accurate (I didn't think that was possible) and seemed like to much work, so I just used it like a DAO trigger letting the trigger come all the way back. I understand that with lots and lots of practice one would overcome it however I am not LEO and I am financially challenged, so shooting 500 rounds a week was not an option. I'm sure for LEO or those who have the time and money to get that down, the DAK is a great concept, keep a heavier pull on a short reset to prevent an AD.
The I tried the LEM. I didn't like the LEM, I freakin LOVED the LEM. Everything I was looking for in that style of action for an EDC. I actually found it by accident when my wife was looking for an EDC. We went to a shooters show at Bills Gun Shop in Minneapolis where most manufacturers had there arms there for you to try. She had been through just about everything there without anything that tripped her trigger
until she came to the HK botth and she tried the P2000. Easy action on the slide was her priority and this had it. Then I tried the trigger and was blown away. We had found her gun (2nd runner up was a PX4 Storm Sub compact, 3rd G19). My little secret was that I immediately sold my P239 and upgraded to the P2000 V2 in .357 Sig :D.
I've also owned a 96D DAO and Frankly I liked that trigger much better than the DAK as well. Smooth and easy to stage the trigger. I sold that gun but just picked up a 96D centurion that I am anxious to shoot.
If only I could put a LEM trigger in my P228