My technique differs, but works for me. I am not a snap shooter, I draw before the animal is right in my shooting range when I can, and hold...and focus deeply on a spot once it is in my view.
I get to this spot every time by looking at the back edge of the animals front leg, following up to where it meets the body, and there is always some type of depression, wrinkle, color change, shadow etc. right in this area.
For me, if it is moving too fast for me to do this (actually only a second or two) the animal is moving too fast for me to shoot. A bear guide in Alberta told me this back in 1989, I have shot every animal since this way. Keeps me from looking at antlers, I soon as I notice them, I focus on finding that leg line instead and don't look away until it is all done.
Bears, elk, bison, hogs....all taken the same way.
Not a cure by any means, but a good tool to try.