I found this episode of “Mythbusters” fascinating.
“Bullet Fired vs. Bullet Dropped”
https://www.youtube.com/watch?v=abUBrQmI33Q&list=PLOdnh5J_7Iy7KerFi9J_HX0nPLndzo_F7&index=5
“Bullet Fired vs. Bullet Dropped”
It just shows that earth's gravitation pull was constant for the two bullets.