I was on both their sides, but if I'd been writing the scene I'd have to chose a point of view: lioness or warthog. Why? Well, imagine it. As the outside observer in real life I often didn't know where to look - at the warthog in the centre, or one of the lionesses stealthily sneaking round the side to spring a surprise attack. Sometimes I was confused - how had the warthog escaped again? where had that lioness come from?
Changing point of view backwards and forwards can be like that, confusing and lacking focus. Which character is the reader rooting for? If we were following a pride of lions and knew there were starving cubs to be fed, we might be sympathetic for the warthog, but we'd know how important success was to the lionesses. If it was the story of one little warthog then, while we'd thrill to his perilous adventure, we'd long for him to get away. Switching between the two points of view would make it harder for the reader to empathise with either. Emotions would get cloudy and muddled.
Of course, some writers do manage to write dramatic scenes from both viewpoints without losing or confusing the reader. But generally that's the exception. It's a good idea when you're writing a scene to decide: warthog or lioness. Then keep the focus, keep the tension, keep the reader. And I'll tell you what happened to the warthog tomorrow.