Just not true. Imagine eating 50g of sugar during a run vs 50g of sugar while sitting in the couch for a sedentary person. Your body's hormones also determine fat gain/loss beyond just calories in/out. And fats and proteins, calorie for calorie, produce less fat storage signals.
It's pretty well established that calories alone, not macronutrient composition, are what is responsible for weight loss: https://examine.com/nutrition/what-should-you-eat-for-weight.... There are plenty of studies comparing low-carb diets to not and no difference in weight loss was found when controlling for calories.
