It’s specific enough, that there probably hasn’t been,

Consider why neurotypical people do it. One theory, that’s around, is that it’s because babies can hear higher registers better. If so, a psychopath might still have the same instinct, because that doesn’t seem directly related to guilt or empathy. They also would be exposed to people around them doing it.

On the other hand, they’re never going to pity an animal, which might be the entry point to caring about them as if they were offspring.