There is no magic friendship between different species happening here. These big predator cats are acting out their niche in nature--kill (at their own weird pace) and eat what they can. Their prey is in the freeze mode of "flight, fright or freeze" which appears to be a state of dissociation from the body before experiencing great physical trauma--i.e. being eating--alive sometimes. It seems to be a bit of mercy found in nature in an otherwise incredibly violent and cruel 3D world.
I once came upon a deer standing in the middle of the road in a similar state. She was uninjured but "frozen" in place. Cars would pull right up to her, honk their horns, then go around and she would not move. I did the same but then got out and tried to shoo her off the road but she would not budge. I finally put my hands on her and she remained like a statue. I ended up pushing her from behind trying to physically remove her but couldn't do it (a crowd of people were watching by now). As I was in my suit, it occurred to me to take off my jacket and wrap in around her head and pull. This seemed to snap her out of it. She shook her head and gave a little buck and leaped off the road and ran into a grassy pasture a little ways and then put her head down and began to graze as if nothing had happened.
I have identified with her many times over the years since, seeing myself as the deer in the headlights, frozen in place and needing to get myself unstuck.
shellycheval