The NY Times has even run other articles saying as much: http://www.nytimes.com/2012/07/01/opinion/sunday/what-really... (by Gary Taubes, whose book "Why We Get Fat" is a must-read.)
The problem with "low-fat" processed food in particular is that the fat is often replaced with sugar to add taste, but sugars and other high-carb grains are more problematic than fat consumption. Hence skyrocketing obesity.
Eating a low-carb diet and easing off grains (particularly "white" grains) and sugars will help you lose weight. From the article I linked above: "On the very low-carbohydrate diet, Dr. Ludwig’s subjects expended 300 more calories a day than they did on the low-fat diet and 150 calories more than on the low-glycemic-index diet. As Dr. Ludwig explained, when the subjects were eating low-fat diets, they’d have to add an hour of moderate-intensity physical activity each day to expend as much energy as they would effortlessly on the very-low-carb diet. And this while consuming the same amount of calories."
I can also speak from personal experience: I went gluten-free after being diagnosed with gluten intolerance in 2009. In three weeks, I effortlessly shed 12 pounds--12 pounds that had refused to come off previously no matter how much exercise I was doing or how religiously I tracked my caloric intake. I wasn't doing gluten-free to lose weight; I got dragged into it by a diagnosis, so this was a wholly unexpected yet awesome side benefit.
I've since noticed that if I slide back into eating too many carbs and sugars (even gluten-free ones), I start to gain weight again, and I feel groggy and disoriented. As a side effect of this diet^Wlifestyle change, I've also completely been able to drop caffeine consumption--something I never expected. Put simply, I didn't feel like I had been hit by a train when I woke up. Caffeine and energy drink consumption has spiked right along with "low-fat", high-carb diets. Something to consider.