Is it possible that those women who don't feel it necessary to point out their gender in situations where gender doesn't matter tend to also be those more likely to communicate well?
Is it possible that those women who make it a point to draw attention to their gender in situations where there is no reason to bring up gender at all, are also more likely to be less convincing regarding the usefulness of their work?
Possibly but I'm really dubious. It's not like these are people prefacing each message with "I AM A WOMAN". They just have a picture name and/or profile picture that indicates their gender, I'm really dubious that those women are worse coders or communicators.
The authors also made a point of looking at men and presumably found no such effect, so one wonders why indicating gender as a woman is different than indicating gender as a man.
And really this is exactly the result I would have predicted. The idea that identified women get less respect for their contributions is backed up by tons of research and is really apparent just looking around on an anecdotal level.