I raise Beefmaster cattle.
DISPOSITION is a formal selection criteria, meaning "good disposition."
To me, it is the most critical criteria. If you can't round up the cattle in a pen and put them in a trailer, you can't even take them to the auction barn.
In the first few years of putting my herd together, I ended up with one bull calf which escaped the pen, ran thru the gate before I could shut it. When I next rounded things into the pen, he was about 900 lbs, snaky as they come. Despite working him with kid gloves, he jumped out of the 6 foot high steel pen...didn't even touch the top rail. Next time it took me days to trick him to come into the pen. When he finally did, I got him under the barn, down the chute and into the steel trailer with steel bars across the roof, no tarp. I breathed a sigh of relief, then he began to climb out of the trailer, straight up, pushed the bars aside and simply levitated out of there. I was hitting him over the head with a six foot two by four, literally drawing blood for the upper half of his escape and it didn't begin to slow him down. He now would jump any fence on the place, and did so whenever he saw us, running to the other side of 200 acres or onto neighbor's property. I ultimately called an abattoir, explained the situation and he said, "shoot him and bring him in, I'll grind him up!" That's what we did. All 1400 lbs of him. Had to hunt him down like a deer, head shot at 150 yards, couldn't get closer.
I well understand there are some situations where only a center fire rifle is the solution.
Buffalo, IMHO, are all bull headed and do not respect fences and are exceptionally dangerous to people and horses...MUCH more than cattle.