I would imagine that the safari park has a get-out clause somewhere in the small print, absolving them of all liability....
I have never visited a safari park and don't expect to, not ever. Not my cup of tea. It is alleged, is it not, that during the shooting of the film
The Omen, the actors in the car really did get scared in the safari park scene, and the handlers had difficulty in controlling the monkeys. But I reckon the monkeys were even more terrified than the humans...