Some shooters find that on long, slowish, crossers it helps if they move their hand slightly farther up the fore-end, or closer to the action when dealing with a short, nippy, target that’s close to the stand.
They argue that the longer reach creates a steadier, more deliberate, swing whereas the shorter hold allows them to move the muzzles more quickly in a shorter space.
Try it if you think it might help your clay shooting
Occasionally I might bring my hand back a little when shooting, say, a fast, close, rabbit but generally I keep the same hold for all birds – that’s because my maintained lead technique (Move, Mount, Shoot) demands that the gun moves and mounts at the same speed regardless of how fast the target is moving, or the angle of its flight.
In other words it doesn’t rely on speed of swing to hit the target so it helps to keep that leading hand in the same position for every bird.