Note that men and women typically present themselves differently on CVs and in selection criteria, with men typically giving themselves credit for work done in teams while women typically talk about the teams they were part of.

This would easily explain why blind resumes resulted in a larger proportion of men being selected.

edit: to contrast with the orchestra scenario, a resume is not a skill test, while an audition for an orchestra is a skill test for exactly the type of skill that the candidate is being chosen for.