I didn't realize how closely related narcissism and sex addiction are but this makes sense. It's easy to just assume sex addicts are just acting on a high sex drive, but that's not the case. Just like any addiction it’s more about the desire to drown out emotional pain but also to assert power/control over others.
"Moments of pleasure allow the narcissistic sex addict to regain a sense of control over his or her life by exerting emotional power over others. Also, the process of seduction and the thrill of having sex serve as a distraction from the individual’s painful thoughts.
Narcissists are also constantly looking for validation from others, and having someone agree to have sex with them fulfills this need. In the end, the narcissistic sex addict’s motivations come down to power and control, not physical pleasure."
https://www.addictionhope.com/blog/narcissism-and-sex-addiction-terrible-tango/