Primates and Deer are shaped rather differently. Deer are 20% neck. I am with EdwardDiego on this one.

The presence of a neck means the cat is more likely to play with its food? That is outside my world model having lived around wild predators, including wild cats, most of my life. I had a mountain lion kill a deer three nights ago outside my house on our property. It seemingly didn't kill it outright since I heard the deer 15 minutes later make a similar sound. I have seen the same behavior in house cats with mice and lizards. The case is on y'all to say why a primate as prey would be different