The model of White privilege is absurdly reductionist. It's like trying to explain all weather by looking at lake effect. 

The fact of the matter is that there are a large number of factors that give people advantages and disadvantages. And many depend on the situation. 

The article mentioned one: growing up with two parents vs. one. But there are many more. Physical handicaps (construction work), level of beauty (everywhere), size (basketball vs. horse jockey), religion, IQ, your language skills, etc. Plus your own beliefs about whether what you do makes any difference, your work ethic, etc.

Does a butt-ugly, clinically depressed White guy who thinks the world is out to get him have more advantages than a handsome, level-headed Black dude who believes hard work is the key? In today's world? 

White privilege doesn't model any of that. It's kiddie science dressed up in adult clothes, reducing everything to the color of one's skin.