It would be very important to train trigger finger discipline -- that is, keeping the finger off the trigger when the sights are not on the target. As for the control needed to hold a target at gunpoint with the finger on the trigger, but not shoot it, I'm not sure that practice is advisable. I'm not saying one must shoot anything they muzzle with the finger on the trigger, but that it may not be advisable to muzzle something with your finger on the trigger unless it can be shot, or in other terms, until it's qualified as a target in a "good" shoot.
I do appreciate that it would seem striker-fired handgun manufacturers seemed to have engaged in a race to shorter, lighter trigger pulls. Some of them aren't far from an old GI single-action trigger, but without the safety. They are built that way for high-performance shooting and personally, I don't think they are best suited for concealed carry under or inside clothing. They are better suited to competition holsters, or possibly duty belt holsters that stand-off in conjunction with tight-fitting competition jerseys or tight-fit, tucked-in uniforms.