IMO that video isn't explaining white privilege well.
The white privilege concept of today really centers around the fact that the majority of people that live in the US are white
Therefore
White people have an easier path to everything and an easier process for everything **if** other constants are held equal
It's simply about volume of like people moving through the world, they cut a path that if followed by others is easier to travel.
file it under DUH
It is the same reason why if your Toyota breaks, it is easy to find a mechanic to fix it if your Ferrari breaks, its not as easy.
When you apply that to people and life, it can get complex, some see it as noise and live great lives anyway, some focus on it and can't figure out how to succeed.
Inherent in white privilege is economic privilege
Economic privilege is something the video touches on clearly - black baby born to lawyers vs white baby born to meth addict, that challenge is not about skin color.
If I spent my life focused on the things that were holding me back, I would have that much less time/brain power/energy to focus on ways to more forward.