That's some pretty funny stuff right there! I guess it takes an engineer.
I don't really think the phenomenon is the rocket science that pdf makes it out to be. Anyone who realizes the principal that causes an airplane wing to create "lift" should maybe have an idea why this happens. This is just my theory (though others may see the same, I don't know), but to me it makes sense.
As a bullet spins, the relative velocity of air around the sides of the bullet is equal....as long as there is no side wind causing a difference in velocity on one side as opposed to the opposite side of the bullet. An aircraft wing creates "lift" when the velocity of air across the top is higher than the velocity along the bottom. The higher velocity along the top in relation to the lower velocity along the bottom creates a vacuum which pulls the wing "up".
I believe it is the same with a spinning bullet. If a bullet has a right spin, and wind comes from the right, the wind causes the velocity across the top of the bullet to increase (against the spin, adding to the velocity), and to decrease across the bottom of the bullet (with the spin, subtracting from the velocity). This relative difference in airspeeds must create a vacuum at the top of the bullet, just like an airfoil (cross section shape of an aircraft's wing). That would be why a wind from the right causes the bullet to rise (to the 10 o'clock position, as some say).
A wind from the left would cause the opposite effect, increasing the velocity across the bottom while decreasing the velocity across the top, "sucking" the bullet down (to the 4 o'clock position, as some say), as the bottom would be where the relative vacuum would be in that case.
Makes perfect sense, I think.