No, they really don't. I can introduce you to at least 15. They currently reside in long-term mental heath care facilities. That said, there are lots and lots and lots of people with the same basic conditions who are "functional" and who walk around doing their jobs in everyday life. Many of them gravitate towards positions of power. Doctors, lawyers, politicians.
My family is filled with shrinks. if you honestly believe that "Even the most heinous, self-serving individuals want to be loved, deep down" then let's you and I sit down and have a few beers one day. I'll tell you some of the stories I grew up with of some of the world's most disturbed individuals. And then I'll introduce you to teams at three universities who were on the verge of being able to identify the genes responsible for predisposition towards most of those conditions, but which were stopped by ethics boards.
You see, because so many individuals absolutely do walk around with this issues but are "functional members of society" there is a lot of ethical debate about funding research that could potentially prejudice people who don't have those specific traits against those who do.
I can even introduce you to someone who put 4 years towards a doctorate based on that, only to have to shift (and add three more years) because of this issue. (She got way too close to actually nailing it.)
So no, there are many people who - deep down - don't give a bent fuck about being loved at all. But they do like power, and they need control. And bags and bags of money buys them almost enough of each to sate them.