I shoot with suppressor, so no trouble for me
. In the video the target gets blanked out after shot from flash or gasses, not sure which. The shooter in the second video's has had time behind the rifle, several different examples of ways to place the bullet in the critters path. Unless you are waiting for them to run into it by holding cross hairs still ahead of critter's path, keeping the barrel moving has worked very well for me weather its coming from behind and gaining lead or holding lead by targeting snout, eye or other body part necessary to allow the bullet to hit its mark.
Coyote running full speed 112yds with pvs14 4.5x eotech
Was trying to hit eye reflection slightly off 1 1/2 inch