Affirmative action could be made compatible with anonymous recruiting. Set up a point system. After all the subjective points are set in stone, unmask the applicant and apply any modifiers.
So the worst of both worlds? You're trying to both eliminate irrelevant bias and emphasize it. Your result will be "we hire the least white, white males"
Depending on the legal criteria (if quotas) decided by society, that could be true.
It could not.
It really comes down to implementation (of which "doing nothing"/autarky is one choice).