As there have been several posts here about how men tend to get fewer responses to CVs than women when gender is known, have any studies shown whether signaling that you are married to a woman in the CV can mitigate this effect, even if to a small degree?

After all, if they know you are married to a woman, by discriminating against you, they are also discriminating against her, are they not? Plus, I think that for those not awake to men's issues, knowing that a man's labor will be of direct usefulness to a woman will make him more sympathetic than if his labor were only thought to benefit himself.

ADDENDUM: Also, based on this clear discrimination against men when CVs or resumes are not gender-neutral, I am now seriously wondering if it makes sense in today's world for new parents of boys to give their boys a masculine first name and a feminine middle name so that they can beat the system when they're older. In this regard, I think people of Spanish-speaking backgrounds are lucky, since "José María" has long been a common name combination for boys (as has the reverse, "María José," for girls).