I find this suspect, because, anecdotally, I can look almost any author of a PR and determine their gender to a high degree of certainty. Probably well over 90% of the time, just from their name + profile picture + handle. Try it for yourself..look at the latest commits on a random project and see how obvious the genders are most of the time.
So the claim that "when a woman is identifiable, PRs are merged less" is totally suspect, because they themselves can only identify the genders of a small percentage relative to what a normal human can identify. If people can identify the genders way more often and accurately, then the claim being made is bogus. Perhaps there is a correlation of strongly signalling your gender (to the point where an inaccurate method of gender-identification has no problem) to being a below average developer.