Why not be RACE BLIND and SEX BLIND and just hire "a person" to fill a position based on qualifications like experience, demonstrated past success, education level, and so forth?
Except those things aren't blind, either. Let's say you have a handful of resumes in front of you, all with name, age, gender, stripped from it, limited only to those items deemed pertinent to the job. Let's head to the education section:
Here in the US, the first three are "traditional" colleges that are not Ivies but well-respected undergraduate institutions. The fourth and fifth ones are top women-only colleges, and the last two are well-respected but historical black colleges. Throw in Ivies or an engineering college, add in a major, and you can probably make a really good guess as to both the gender and ethnicity of the candidate.
In the UK, I've heard there are some characteristics you can associate to a person based on their university and it's not much different here.
But let's say it's a sheaf of public universities with majors that don't go in one direction or another. Next you can look at things like organizations they belong to, or where they interned, or what charitable or non-profit committees the sit on or organize. That will say a lot as well, especially since many women only or race-based organizations were set up specifically to combat the turn of the 20th century's white male only fraternities, professional organizations, etc.
And even stepping away from all of that, if it was perfectly vanilla or equal chance to be anyone... the people doing the hiring will go with what they know. They have colleges or universities they are familiar with or went to, organizations they worked with or are part of, or positive or negative experiences with people from those places. When presented with millions of combinations, the brain seizes and starts thrashing about looking for anything to grab on to... and that's often the familiar or comfortable.
Blind just means it's harder to figure out where things are going wrong. It's a societal issue that requires society-level changes. Apple's executive team is just a symptom of a larger problem.