I hear you, and I understand your point. And you're right too. Exercise is a way to burn calories faster, there's no denying that. I've been coming down extra hard to emphasize my point. ;)

But just to be clear, because I'm not sure I've been completely understood either, and to answer your question "why we should deny the fact that sports also is one of the options"... I never lost weight at the gym in 20 years of going to the gym until I realized that sports is not a weight loss option for me personally. The reason is that our physiology compensates for excess calorie burn by making us hungrier, which is true for almost all humans & animals. If I don't track what I eat, then I will accidentally eat too much after I work out, just like I accidentally eat too much when I don't work out. I know that many, many people have the same problem. Once you see this, you realize that for many people, going the gym actually has nothing to do with the weight loss, even if they think is does. It's either a way to continue to eat 2k+ calories, or a way to get stronger, but only the intake control is what leads to weight loss. Without the intake control, the gym just leads to more intake and no weight for me, and for a lot of people.