It's a bit more complicated. A spinning object (bullet) creates a low pressure zone on one side and a high pressure zone on the other. The "Magnus" effect. The bullet isn't actually trying to align itself with the airflow. It is rising or falling into the zone of low air pressure (yaw). There is a lot going on with bullet trajectories. Air is not a static medium so I suspect as a bullet travels downrange it could be changing between nose up, nose down and in between depending on air pressure, velocity and direction. Theoretically, the bullet rise should stack up more over longer distances but one would need a wind of constant velocity, direction and pressure (impossible outdoors) to be able to prove or determine that. Add in the forward momentum and center of gravity of the projectile and the bullet appears that it would be skidding (trajectory not following the nose) on its way to the target.
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