I think the author misstates the narrative around how the chore/sex link gained currency. She suggests that the narrative was "too often, sex is treated like a reward that women dole out to men for performing their chores well."
That turns the advice that was being given five or so years ago on its head. The popular narrative was that women needed an extra incentive to have sex - that if a husband did chores, his wife would be more likely to have sex. See, e.g., this 2008 article from Diane Mapes "Gals make passes at guys who wash glasses":
http://www.today.com/id/23015839/?GT1=10856#.U9kXKbHNAZ1
"“When a man is willing to step up to the plate — and wash it for you — you’re going to think about him in a very different way. It’s not just that he’s domesticated. It’s that he recognizes that these things have to get done. That they’re not just automatically going to be done for him. And that’s hot.”"
In any event, the upshot is that sex and chores don't have much of a correlation one way or the other. Have sex if you want to. Do chores if you want to.