Privilege checking

So infamous former Conservative MP Louise Mensch wrote a reasonably ignorant article against asking people to check their privilege. The left-leaning internet, lead by Laurie Penny, got very impatient with Mensch. I don't particularly care about Mensch versus Penny; Penny unquestionably has the sharper mind and is far more politically astute and media-savvy, but that's like pointing out that Bach was a better musician than Justin Bieber. I'm more interested in the essence of the debate, about whether the idea of privilege and checking one's privilege is useful to feminism.

( I'm more on the fence than you might imagine )

There may not be any way to fix this, I know. But I am not yet convinced that the privilege framing has enough benefits to outweigh this downside, even though I don't really have any better suggestions.