As someone with low empathy, it's not the same thing as psychopathy. I might not feel things at the funeral of a friend (I didn't for my paternal grandmother, though I think this is also to do with how you view relationships, death, etc.) or have that disgust reaction to seeing extreme violence on screen, but a psychopath could literally murder someone and not feel remorse. This isn't to say they
would--that depends on how conducive it is to their goals--but there's a strong difference of degree there.
@SimVicious