Benezra, thanks. I think I knew that, but reading all this stuff confused the simplicity if the concept in my mind....
The easiest way, at least in my mind, to think about the Coriolis effect is to relate it to the Mythbusters episode where they debunked the bit in the movie "Wanted" about curving the bullet around an obstacle: no matter how fast you 'fling' the gun, as the bullet leaves the barrel it assumes a straight velocity vector. While it is effected by air resistance and gravity, movement of the barrel does not induce a progressive vector change after the bullet leaves it: the bullet travels, in a straight line, in the direction it was travelling at the moment it left the barrel. For the same reason, the shooter, moving along an arc as he would be on the surface of the earth, doesn't impart the movement of the earth's arc into the bullet after it leaves the barrel; it continues to travel in a straight line (barring wind changes). The earth rotates under it, inducing a RELATIVE change in the bullet's vector, which is minor, but over the tame lapsed from firing to impact on a very long-ranged shot, can noticeably change the bullet's impact point.
But the biggest influence, aside from the shooter's movement, which changes POI, is aerodynamics...manifesting in both windage and spindrift. Gravity falls right behind it, as the shot's elevation has a marked effect on POI as well. Unless you're making REALLY long shots, the coriolis effect is negligable as an influence on POI.