I doubt you would miss a bird by jerking the trigger on a shotgun, unless the trigger pull was substantially more than the total weight of the gun.
You will have people opine that your triggers should be in the same class as a sniper rifle's trigger. That hasn't been my experience, in the heat of the moment of a bird flush, it doesn't seem to matter what the weight of my shotgun's trigger is.
I own a couple with heavy trigger pulls, near the weight of the gun, and I have a few that are really pretty light, 3 lbs or so, in the case of a certain model 12, but, neither condition seems to change my shotgunning much.
Practice, with the gun in question, will likely lead to better confidence with the triggers as they are. Do make a go of that.
Best,
Ted
