I have not looked at the whole issue of firing pin primer drag but frankly I am not sure I understand what that would matter.
If someone could explain to me what that affects I would be grateful.
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I am only repeating what I've been told so I can't confirm or deny this, but the striker drag supposedly is indicative of a possible firing pin failure down the road. Again, that's not coming from me, I am just regurgitating what I heard.
I no longer own either pistol though my preference is the Shield, above all because it fits my hands better. The P365 is just too small for me. I was very happy with my S&W M&P Gen 1.0, Gen 1.0 Shield, Gen 1.1 M&P, and Gen 2.0 M&P triggers. They all broke with absolutely zero front sight disruption for me and the reset was long enough so that subsequent shots were fast enough and accurate. That's all I care about.
I can shoot a Bodyguard awesome for the first round, for example, probably more consistently than I can most striker fired guns. I don't know why people complain about it because it actually is better than my SIG P229 Elite's DA pull.
The weakness of the BG trigger is the subsequent pulls at speed. If I am slow firing, that's not a problem, and it is as good and accurate a trigger as anything IMHO (since it does nothing to detract from the accuracy of the gun and is very forgiving if I don't get a perfect grip).
Getting back to the Shield, every pull is also great for me. The only thing I don't like about the M&P triggers is that they break a little far to the rear for my longer hand. It's something I can get used to, however, and as I said, does not affect accuracy for me.
Yes, I'd rather have a PPQ trigger on a striker-fired gun than a Shield or P365 trigger, but I don't need it, so as far as the "better" P365 trigger is concerned, it is of no practical use for me.
It then comes down to the fit. It's not like I can't control a small gun (I shoot my Bodyguard and Ruger LCP II just fine), but I have to adjust my hands with the P365. Others probably have the opposite problem and shoot it better than the Shield. A lot of it depends on how well your hands can warm up to a particular pistol.