Is virgin stigma another way in which patriarchy harms men?

In our society, a lot of men feel like they need to have relationships because of societal pressure and not because they genuinely need a person to relate to romantically. In other words, the main reason a lot of men feel like they need to have a girlfriend is because men who are virgins and who have never dated are seen as inferior. I see this sort of stigma as stemming from patriarchy's treatment of women as "status symbols" instead of full human beings, trophies that signify a man's status. Would pointing out to incels that the reason they feel like they need a girlfriend is due to patriarchy be a worthwhile way of changing their minds?