A disabled person who has to request accommodations for the application process will immediately be outed for having a disability. The same applies for people who speak different languages.
Beyond that, the application is only one place in which discrimination occurs.
- It also happens during interviews which are much harder to anonymize. - It also happens in testing and requirements that, while not directly correlated to job performance, do serve to select specific candidates. - It also happens on the job, which can lead to a field of work not seeming like a safe option for some people. - It also happens in education, which can prevent capable people from becoming qualified.
Lowering the bar is not the right answer (unless it is artificially high) but neither is pretending that an anonymous resume will fix everything.