Chuds use whiteness as a cudgel against white liberals who pretend to care about equality while, at the same time, preaching ideology that protects their privilege.

The worst thing you can do to a white liberal is force them to admit that their ideas are internally inconsistent. That, in order to maintain a belief of equality, they must drop their other beliefs about police, immigration, imperialism, etc.

Chuds are actually more consistent in their beliefs because they take the other (more evil) path, dropping the belief in equality in order to maintain all those other beliefs.