That was a .22 short remember not an LR so it has a lot less power and sometimes the cow would move at the last second or once it had a real thick skull but for the most part a short was plenty so an LR would have no problem.
.22 hornet was fine, one was a shoulder shot and the other was a head shot. I have heard some saying that the normal 30-06 is too high powered for most deer as it destroys a lot of the meat, my little .22 hornet downed both just fine and last years head shot wasn't bad considering it had been 15 years since I shot a gun. I wouldn't mind having something more for deer hunting but have a list of things to buy that is too long already so I just realize the limitations of what I have and don't shoot unless I'm fairly close.