Being male and/or being white does confer privilege, all other factors held the same. However, obviously there are many other factors, like socioeconomic status of parents. So a black woman could still be more privileged than a given white man, for example. If you were going to plot distributions of privilege for various demographics based on gender and ethnicity alone, the mean for “white male” would be higher than for all other demographics.
“Name too Jewish” is racist. Had he not had a Jewish sounding name, he would have been more privileged. Right? Same idea.