Interesting, I spent some time looking at the research. I change my mind.
There are studies that suggest that double blind review can positively impact the acceptance rate of female authors. This is the paper that I find most compelling. https://academic.oup.com/jole/article/1/2/163/2281905
I did look for the arguments against double blind review, some people note that voluntary double blind review
(where authors could opt in) is not very effective because there is incentive to not be anonymous. But, mandatory double blind review appears to have measurable effects in at least a few cases.
Put me in the yes camp.