Waaaay back when, maybe 60 years ago, I read a fascinating book (wish I could remember the title) by an African white hunter who guided wealthy clients on African trophy hunts, some for dangerous animals. He covered each really dangerous critter in great detail with many anecdotes based on his experiences on hunts with clients.
He said he never got over how many wealthy clients, with guns costing tens of thousands, arrived without having ever fired or zeroed the rifle they were going to use for the hunt.
He related how angry these guys were when he made them spend hours or even days firing their rifles in a base camp until they could get off two aimed shots and hit a bullseye at 100 yards in two seconds. The clients just could not understand why TWO shots so quickly, until he told them that if they winged a lion at 100 yards and didn't kill or cripple him, the now very angry lion would be on them in four seconds, bounding up and down all the way. He wanted a spare second or two for himself and his assistants to get off a life saving shot.
Sounds like 50-100 yards is when you should have a bead on the critter.