The real reason for the design is because NY cops were transitioning from revolvers, which have a heavier and constant pull and the new trigger made it an easy transition after years of training and experience with the revolvers. It had nothing to do with inadvertently shooting people.
Oh yes it did. The NYPD were red stripping themselves at an alarming rate as they transitioned out of revolvers into the Glocks.
I had three foster brothers and a sister that were all NYPD (yeah, I know. I'm the black sheep of the family at NJDOC). One worked at headquarters during that period. The NYPD was considering cancelling the rest of the Glock contract and going to the Smith 9MM because of the AD's. The "accidental" shootings (2) were only fuel to the fire. The NY trigger was Glocks solution to the problem.
Personally speaking, the few of you are right about the feel. When I bought my G36, I got it with a NY trigger. After my first, and only session with that trigger, I came to the conclusion that;
1. My finger was sore as hell by the time I got done, and,
2. I believe that trigger is one of the reasons that the NYPD can shoot at a guy 42x and only hit him 4.
I think the NY trigger is an all around bad idea. Training and practice is the solution.