The civil rights movement happened in the mid-60s, less than a generation ago. Before that, African Americans were considered a lower class. It was harder for them coming of the reels of slavery to obtain land, work ect. than their counterparts, especially with their counterparts still having a bias toward them .
They missed the big land rush that Abraham Lincoln gave to everyone. They did not have the same education as their counterparts which also made it harder for them to compete with their counterparts and they had to deal with the fear of the KKK in the back of their minds and or being charged for crimes they didn't commit on all-white juries without a defense attorney.
So essentially, they started getting the same playing ground in the 70s but it. However, they were still in the same socio and economic status at that time and the same bias and persecution existed at that time.
Many African Americans born in the 70s and 80s were still born in those conditions and still the same today. It takes a while to overcome the bitter fruits of slavery and the Jim Crow laws. It doesn't happen in a decade or two decades or three or four.
So a person that does not have ancestors that were slaves or ancestors that were treated as a different socio-economic status is at an advantage. As a result of the past, and their heritage many Africans Americans live in poorer neighborhoods with a cost-benefit ratio of doing crime being much higher due to education and socio economic status.
Police target those areas for crime as a result and we now have a higher ratio of African Americans in prison for drug-related charges compared to other races.
If you weren't raised in compton or other areas in the Ghetto being raised with just a mom while Dad is in prison, knowing who the gangmembers are, being pressured into joining a gang, seeing and knowing people who get shot every week, knowing what areas one can and cannot be because of gang territories, essentially having to raise yourself and your siblings and your cousins because your mother is working or passed out all the time, having to deal with physical violence, living in that atmosphere and trying to survive and get a way out with the only option being education and or sports or just joining a gang, on top of fear of being stereotyped by police interrogated by police, arrested by police and possibly beaten and or shot by police for living in that area and never have to worry about ever being sterotyped by police even if you got out of that area through education or sports for the rest of your life and knowing that there are groups out there, with a history of your ancestors being persecuted, hated, beaten and killed by the KKK which was supported by many government leaders and knowing that there is still a group of people still out there that still hate you having never met you just because you have a darker complexion of them, being called racial names from individuals who aren't part of the KKK but are still very racist, then yes, whether you are male or female and Caucasian you are privileged primarily.
There are exceptions to both side but generally speaking that is a snapshot of where we are right now. Many people that live in "primarily white" areas that were raised after the Civil Rights movement seem to think that the playing field is now level, things are ok, we have moved on and the world has been set right, that many African Americans are famous singers and sports stars and that any advantage that an African American gets, such as getting into college above a bunch of other white people is unfair.
This is not the case. Before someone starts pushing against the white privilege card, first move to Compton and live there for a year, learn from and talk to the people that have ancestors during the time of slavery and the civil rights movement, how their parents survived, what they had to do to get by, what they had to suffer from other people because of racism, what kind of education experiences they had and what life is like now as far as education and opportunities.
Only after that, I think someone would then have the chance to know whether or not it is worth it to push against whether or not people from European descent with lighter complexion are privileged above another race.