Great question OP. I sold my Seecamp 32 and I bought an LCPII a couple of months ago and like the gun very much. Reasonable sights (with red paint added), lock open last round fired, and most importantly, well designed deep cocking serrations.
Recently, a friend offered me his LCP with Viridian instant on green laser attached at a very good price. I found the gun to be a pleasant surprise. The sights were fine (red paint added), I actually found the trigger to be OK for a small gun, the lock open feature was no deal breaker, the original owner had installed Talon grip panels which added a small additional width to the frame but he also put a couple of strips in the slide which made it much better than the stock serrations which were poorly designed in my opinion.
All said, I have one of each and the LCP II in a wallet holster is carried with me far more than I expected it to be. The original LCP/laser will become my "car gun" velcro holstered against a side door panel pocket.
I shoot both of them one handed equally well. In a heated moment when adrenaline takes over, nobody will be able to tell you which trigger is better.
Which of the two do I think is safer to carry? In my opinion, both of them are safe to carry loaded with a round chambered. Neither give me a second thought as I always carry them in some sort of holster with the trigger fully covered.
Follow the four rules and you will be fine.