Sights are the last thing you need for wing shooting. Once you get your head down on the stock, focus on the target and only the target. “Aiming” is counterproductive. Moving target, moving gun... don’t slow or stop your swing when you fire, follow through.
The deer in my area have dropped and I saw the cutest little wobbly fawn traipsing through my backyard day before yesterday behind Mom. My guests emitted the obligatory "Awwwww." Durn near got stomped for referring to the little critter as "venison." Cute venison, then. What?
Zackly. Sweep the gun in a smooth arc till it’s on the same track as and slightly ahead of the target. Shoot while continuing to swing on the same arc.
Many a tasty rooster have lived to fly another day for lack of follow through.