It's not a binary choice between 0% luck / 100% power, and 100% luck / 0% power. There's a whole continuum in between, and the exact luck/power breakdown for any given action is a matter of objective fact. Where we run into trouble is when our perception of the breakdown does not match the objective reality, and we waste our time on impossible tasks or don't bother to try tasks that could have benefited us.
And the breakdown of luck/power is objectively skewed in favor of power for those who are white, and skewed in favor of luck for those who are minorities. So while white privilege and white supremacy might both be wrong, they are certainly not wrong to the same degree. While privilege is a view closer to the objective reality and is thus probably overall beneficial as long as you don't take it too far. Likewise for feminism/incel.