Louise Mensch considers it mired in identity politics and postmodern etiquette:
We have the unfruitful spectacle of some of the most leftwing commentators in Britain wondering if they are being leftwing enough, or if their background even gives them the right to make an argument. “Check your privilege”, for example, is a profoundly stupid trope that states that only those with personal experience of something should comment, or that if a person is making an argument, they should immediately give way if their view is contradicted by somebody with a different life story. …
At this point, I had drifted off into Monty Python’s Life of Brian, where Stan and Judith are debating whether they should stick up for Stan’s “right to have babies” even though he can’t have babies. And that is what the modern feminist movement has become. Full of intersectionality, debates about middle-class privilege, hand-wringing over a good education (this is again “privilege” and not well-deserved success), and otherwise intelligent women backing out of debates and sitting around frenziedly checking their privilege.
It does nothing. It accomplishes nothing. It changes nothing.