Mine has some wiggle to it. More like it's pivoting slightly inside the frame. At the tip of the tip of the trigger the lateral motion is more pronounced. Since I have never had the trigger assembly out of the frame, I'm guessing that's the way it came from the factory. No functional issues that I have noticed.
I've taken things apart that might have been best to leave alone but I generally study the EPVs (Exploded Parts View) extensively before I do so and usually take pics as I go along to assist with reassembly. I didn't always do it that way but after a couple of close calls, I do now!
Flex