The conclusion of the unrefereed blog post is merely the much more equivocal:
" What about that much-publicized “50 percent” claim, or for that matter the not-so-well-publicized but even more dramatic “increases by severalfold”? I have no idea. I’ll reserve judgment until someone can show me where that result appears in the published paper. It’s gotta be there somewhere."
> 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.
The bit starting with "even if" is just saying that it doesn't matter to them: either way they're still in favor of blind auditions.