When I was a kid our hired man shot a hog in the snout with a 22-250. Pig went running off squeeling like hell and the dude had to pop him in the chest,think he shot like 3 or 4 times, I'll never forget that chit!
Another time a Native came out to butcher an old burger cow, did the same damn thing, I grabbed my 270 out of the truck and finished her off.
Scopes and 10 yards don't mix....(grin)
I can confirm that 10/22s do a good job on steers. My aim is improved by a little grain in a coffee can.
Not so good on bulls . . . . . . . .
Local guy that recycles all of the 4H critters into freezer stock uses a Browning Lever in 22 mag.
BMT
22 mag was our preferred weapon as well...A guy learned fast that between the eyes was a bit low!