Hmmmm. I don't think this study necessarily contradicts the consensus of (non-pharmaceutically enhanced) body/fitness building (especially the ideas promulgated on this site). In other words, lots of lean protein (1++ gram per pound bw), low cargs, lots of roughage, no empty calories (beer, sugar, flower, etc).
I haven't read the study, but the NY-times story makes it sound like normal active faties lost weight on calorie restriction (we know that happens) -- and that story alludes that many gained at least some of it back because they could not maintain the calorie restriction (no surprise there either).
Not addressed is the impact of training, nor is the issue of the most efficient way to lose weight evaluated by this study. They describe participants loosing an ave. of 13 pounds in 6 months (or ~ 0.36 pounds per week). I would not call that efficient weight loss by any measure.
I see no reason to change my approach -- eat lots of lean protein and foods that are not calorie dense (greens, veggies, etc.) and no (ice cream, cake, beer, french fries, anything with flower/sugar, etc.)