I don’t think the dying elephant cared much if they were doing it to eat.
And yes, Lions have been known to kill for fun.
Know what happens when not enough wealth westerners fly down to shoot African lions? They kill them in mass hunts to keep the population in check. They had to execute a bunch of them recently because all that Cecil crap decimated the number of hunters going down. So there were too many lions and they had to kill a bunch in a mass hunt.
At least when it is done via safari then the locals get money from the hunters and everyone wins.
All apex predators kill for sport and even to teach their young....the liberals will say this is not true of course, as they load up the predators here in the US for rewilding.