My problem with the argument is not that it's anti-feminist, it is that it's a broad-swath argument that could be levied against any number of beliefs, and the author deliberately chose to wield it only and exclusively against feminist and anti-racist positions.
I made that quite clear in my original comment by suggesting several conservative "luxury beliefs" that I believe the author would have to criticize on the same grounds, but failed to do so. This is not "deflection", it's showing that the article employs double standards and is thus intellectually dishonest.
The "predictable" part, in my estimation, is that this kind of argument would be used by a right-wing author. To be saying the thing by saying it, conservative cultural critics, when measuring liberal discourse, are incapable of coming up with a bar that they themselves don't trip over.