Earlier quoted context omitted.
You're not wrong because it's about calorie deficit of which exercise can help you achieve. Also since the way fat gets "burned" for weight loss is by exhaling carbon atoms, aerobic exercise can assist with this process. As always do not add more mass than you expel.
I don't eat particularly healthy, and I don't exercise much, yet I'm perpetually borderline underweight. Why does the math not matter for me, while the next person watches every calorie, goes on long walks, and yet struggles to lose any weight?
Not even half a can of soda off and you gain five pounds a year, or fifty in a decade. The math matters, but does does the calibration and the ability to accurately estimate consumption. Even a tiny error amount means long-term weight gain. It's pretty easy to be glib about it.
A fidgeter, someone who wiggles, bounces their feet, etc., can burn perhaps three hundred extra calories per day. You can also see how that adds up.
The tiny increments matter little against time.