Let me preface this by saying that it is desperately sad that that woman is dead.
I live in SA, and I've been to that lion park, and to lots of game reserves. The lion park is small and busy and about as far from wilderness as you can get. The animals are extremely habituated to humans. When you go in, you are warned not to stop your car close to the lions, which can be difficult as traffic is heavy and people ignore instructions. Outside, as we drove in, we noticed three vehicles changing tyres. The reason for this became clear inside. The lions stroll around right up to cars, and one stationary car in front of us (which couldn't go anywhere) had a male lion walk up as casually as a if he were a dog about to pee on the wheel. He seized the tyre in his jaws and started to shake the car, a large Mercedes, violently. The tyre exploded with a bang and he moved on to the next one. The people had to drive out on the rims of their shredded tyres.
I have seen some amazing things, like a woman who got out of her car at a campsite in a game reserve about ten feet away from a very obviously pissed-off bull elephant which she had OVERTAKEN in her Fiat Punto. She must have thought that it would be against the rules, somehow, for the animal to kill her since she was in a car park, albeit a car park that was just bit of beaten earth.
I've spoken to a very aggrieved woman who in similar circumstances tooted her horn repeatedly at an elephant, because, she said, she had to let him know that she was NOT okay with his proximity.
I couldn't tell you the number of people who I've seen lean out of their cars or even step out of their cars.
I imagine that very shortly there will be no such thing as self-drive safari, as people simply cannot get their heads around the fact that animals are powerful and can be really dangerous.