We're not just discussing the problems that women face, though. When the author of that Kotaku piece used male privilege as a starting point to base his argument on, he made an implied statement about men's problems with gender too; he implied that they were irrelevant. It's not just a case of ignoring them or putting them to one side - his argument was an argument that they couldn't exist, at least not in any way that mattered.
This is a common pattern when someone "disrupts" a discussion of women's issues. Sometimes it's a discussion of women being raped as the only kind of rape. Maybe someone's arguing that domestic violence is something that happens to women because they're women - of course, then all the many male victims couldn't exist.
In fact, almost every time I've seen someone tell a man that they're disrupting a discussion of women's problems by talking about men, they were making a statement about what men experience in the first place and using it to shut out contradictory evidence.