But which direction? Projectile design could be a factor causing precession and nutation.
If the helicopter's on the ground at flat pitch, it won't have that much of an effect on the projectile's ballistics. Once in the air, at an in ground effect stationary hover, however, the air turbulence can effect the projectile (generally) upwards to some degree, based on the projectile's weight, muzzle velocity and position of the shooter to the aircraft (above or below).
Elevation of sights? Certainly not downward. No spiraling observed in wind from downdraft, and if the damn thing nods at me, I'll nod back.