White privilege is a thing.
Light skinned privilege, not really.
Trying to argue if two equally qualified Black applicants apply for the same job and one happens to be light skinned and the other darker from my personal experience just isn't proven out in the real world the light skinned applicant will have an advantage.
Maybe it happens sometimes, but I have never heard dark skinned people gripe and complain about the job they lost or house they didn't get because of a light skinned Black person.
Trying to turn light skinned privilege into a 'thing' almost on par with White privilege makes no sense and sounds like whining.
Jesse Williams doesn't have light skinned privilege.
He's got I-look-White-and-have-to-tell-you-I'm-Black privilege.
Light skin privilege really only exists in the Black community, since we tend to value more Black men and women with lighter skin.