It's not really used clinically as far as I can see, but the common definition of sociopathy is also starkly different from what you describe: the sociopath does have an utter lack of caring (most starkly for the well-being of others), but he/she has no difficulty whatsoever emulating social interactions and feelings. In fact they are stunningly, stunningly good at it to the point of being horrendously manipulative. They usually do everything in bad faith, or at least with the sole goal of furthering their own agenda. So this condition is fundamentally different.