You should have quoted the sentence just before:

> I agree that blind auditions can make sense—even if they do not have the large effects claimed in that 2000 paper, or indeed even if they have no aggregate relative effects on men and women at all.

so, what the OP said

> Many orchestras switched to blind auditions, and it drastically increased the number of female musicians.

is incorrect because quoting again from the article:

> or indeed even if they have no aggregate relative effects on men and women at all.