POI changes with distance, for a couple of factors, not only gravity and loss of velocity. Bullet path doesn't just vary vertically, but bullets travel in ever-enlarging spirals, due to imperfections in bullet manufacturing, muzzle flip and rotational precession (movement like a spinning top).
Bullets do not travel in "spirals"
Copying and pasting your original claim won't change that fact
You may have attributed it to wind, mirage, etc., but it does occur and is documented by scientific testing.
Can you please show us this "documentation"?
It would prove bullets actually defy the laws of physics
From the book "The Bullet's Flight" by Mann: Page 243 paragraph 3..."Most bullets, being more or less unbalanced, begin to develop a tip and an oscillation immediately upon their exit from the muzzle, and those that do not tumble in their flight will gyrate, due to air pressure on or near their points."
That's not a "spiral" that's a "wobble", and it gets better with distance, not worse
The motion being described in the book is around the projectile's center of gravity, and not it's flight path as you stated
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