The only problem with blind selection, is that, sooner or later, the race/gender/sexual orientation/religion/fitness/attractiveness/age (I'm an old fart, so I can tell you a thing or two about ageism in tech) becomes apparent.
I have heard story after story from peers (around my age), about passing numerous rounds of phone and test interviews, only to see the interviewer's face fall, as soon as they walk in the door. It's happened to me, but, thankfully, before being flown out (if it's a contract application, then we're on the hook for the cost), and revealing the age.
It happens with highly qualified older white guys, so I'm sure that it will happen with other distinguishing characteristics.
The simple fact of the matter is, is that people have certain traits they are looking for, and the final call is always a "gut feeling."
I've learned to just avoid all the agita by making it clear that I'm "of a certain age," right up front. I don't get many offers, but at least I don't have those blasted recruiters, gushing about my résumé, only to shred my contact card, as soon as they find out I'm old (I guess the industry is crawling with 32-year-olds with 30 years' experience).
I don't think it's a good idea to have AIs do the selection (as has been suggested numerous times -usually by folks in the AI business). Humans need to work with humans. If an AI puts someone into a situation where they are treated like garbage by their managers and/or co-workers, then they will be miserable (and unproductive); especially if they have done something like uproot their lives to move somewhere (I have also heard many stories from people that have uprooted their lives to go to "the perfect" job, only to come back, a few months later, broken and cynical).
If the people involved don't want to work with someone like me, then I don't want to work with them. That's easy for me to say, though. It can really stink, when you're hungry and need the work.