Made it to the range today with the P365 and shot 130 rounds of 115/124gr FMJ. I REALLY like this gun. It feels like it was custom fit to my hand. The texture of the grips is just right without being overly aggressive so it doesn't move around during recoil and the gun comes right back onto the target. Recoiled seemed much less than the Shield. I was surprised that despite the beefy duplex recoil spring it is also much easier to rack the slide. The trigger is terrific....about 1/4 inch of smooth take up then a very crisp break I would guess to be about 5 lbs with no over travel at all. Very short reset with a distinctive "click". I recall the Shield 1.0 trigger traveled all the way to the rear of the trigger guard when it hit the molded in stop. The Sig stops its travel after breaking at vertical.
As far as accuracy goes, I make no claim at being any thing other than a rank amateur, mostly due to not enough practice but also having to wear bifocals and having old slightly shaky hands. I can't get clear focus on both sights so I concentrate on front sight focus which helps, especially with the bright green sight on the Sig.
My first 20 rounds were target #1. Getting familiar with the trigger, sights, grip, etc. Right at a 4" group, though slightly high and left. I used what they refer to as "combat" sight alignment where the front sight dot covers the bullseye.
The next 20 were target #2. Used the "lollipop" sight picture
on the center diamond. Again a 4" group without the 2 fliers, slightly left and low.
For me personally, a 4" group at 7 yards is one of my best.
With the right shooter on this gun I'm sure its' accuracy potential is much better than the average pocket gun.
The "man" target is about 90 rounds I shot at 7 yards. It would seem the sights are a little off as most are to the left. About 60 rounds were slow deliberate fire and were in about a 6" circle in the center. The bigger hole in center mass is when I really concentrated on the front sight. The other 30 rounds were double and triple taps and rapid fire mag dumps including the head shots.
IMHO this is an excellent choice for EDC. Small easy to conceal with 11 rounds on tap and very accurate.
(I haven't figured out why my photos are always turned 90 degrees to the left)