No, sociopaths have that morality. Because they've more than likely learned "throwing this puppy in the garbage bin will get me in trouble, and that is not good in terms of me getting to do what I want". But you're right in that they don't have the empathetic morality. They won't put the puppy in the garbage bin and walk away, hearing the puppy cry, and FEEL BAD about it. Unless by acting as if they feel bad they can get something they want out of another person.

Then again, the difference between a sociopath and a psychopath (as taught by my professor who studies them in prison on a regular basis), is that sociopaths can be corrected. Their behavior is learned, and they can be re-taught to feel empathy for the puppy that's crying. A psychopath's lack of empathy is a genetic disability. He will never be taught, and any attempt to try and rehabilitate the psychopath will not only do no good what-so-ever, but will make things worse. It will give him (or her) more tools to use against other people. Because that's what they do.

At least Laurell has stopped switching terms for the most part. I get tired of them flip-flopping. Are you calling him a sociopath, or a psychopath? Which is it? And you're right, a sociopath calling himself that is just as likely as someone with narcissism saying he's a narcissist. 0%. (Although the sociopath might to get something out of you.)