Ofcourse sociopaths don't feel empathy as often as the average person, they have it turned off by default and can control when they want to feel it.
Sociopaths may not have a heightened sense of empathy, but they can obviously experience it. The possibility that they have heightened sense of empathy was my own theory of how to explain why they have developed the ability to shut it off and it is just that, a theory. But if you're going to debate it, you need to do a better job then simply saying "no, you're wrong" explain why I'm wrong.
In any case it doesn't negate the fact that sociopaths do feel the emotion of others, as you've continually implied they do not. (Should I pull up old posts for you?) Infact your entire persona on this forum has been nothing more then you trying to imitate a sociopath, what you think they are. Because you want so desperately to have some justification for how badly you've ruined your own life. Because you don't have the intestinal fortitude to admit you're a failure because you've chosen to be one.