> responded to a man's-name resume that did not respond to an identical resume with a woman's name

If you can demonstrate evidence of this, you absolutely should, because that would be a particularly surprising finding considering how many organizations state upfront that they have preferential hiring for women. I’ve hired software developers for decades, and the resumes are dominated by Indian-sounding names: I don’t know about you, but I usually can’t tell whether those names are masculine or feminine. I’m shocked on the rare occasion I come across a resume with an American sounding name like Jim or Mary.