Minor nitpick with your nitpick - the DSM used to make a distinction between Sociopathy and Psychopathy, but as of DSM 5, they are both described under the umbrella of Antisocial Personality Disorders (ASPD). The distinctions now are only cultural, and made outside the DSM - usually by researchers trying to explain ASPD traits in nature vs. nurture constructs. In that regard, one could say there's actually no distinction between the traits describing the two as defined in DSM 5.