Look at the examples of what the food was that these people were eating 'more' of after exercising. Muffins. Starbucks, etc.
When you combine crap food with exercise in your studies, of course the results will be 'exercise does not help with fat-loss', which I agree with the statement, but not the overall concept of exercise burns excess calories = losing weight.
As we all VERY well know. Diet is 80% (if not 85 - 90%, in my honest opinion) the solution to weight-loss.
I was battling my post-baby weight and couldn't exercise because of the lovely birthing process' toll on my body, but combined with the breast feeding and healthier diet, I dropped pounds.
I even have body-builder/ figure competitor friends who claim to do VERY little cardio, while still lifting heavy weights and eating low-carb. Let's just say that I WISH I had their low body-fat percentage!