The study did show it. The author of this critique properly notes that Table 4 is not an apples to apples comparison. The author of the study notes that expanding the pool of women as used in Table 4 likely brought in less talented musicians disproportionately.
Table 5 does the more apples to apples comparison. The critique notes that sample size is too small, but it captures 445 blind women, 816 blind men, 599 non-blind women, and 1102 non-blind men auditions. That's certainly sufficient for a study like this.
The study also does reflect how when a population feel like there is less bias against them in a system they are more likely to participate -- even if that means on average the level of "merit" might go down, but those that make it through the filter will better reflect actual meritocracy -- and that's what this study showed as well.
Table 5 does the more apples to apples comparison. The critique notes that sample size is too small, but it captures 445 blind women, 816 blind men, 599 non-blind women, and 1102 non-blind men auditions. That's certainly sufficient for a study like this.
The study also does reflect how when a population feel like there is less bias against them in a system they are more likely to participate -- even if that means on average the level of "merit" might go down, but those that make it through the filter will better reflect actual meritocracy -- and that's what this study showed as well.