Perhaps I should have termed it as weight loss rather than fat loss... Technically, you can eat candy bars exclusively and still lose weight. However, body composition would be affected due to a lack of macro balance.
Regardless, if macro and calorie balance is achieved in either of your two scenarios you outlined, then the difference between them is nill.
Also, all calories ARE the same. A calorie is a calorie. It's a unit measurement of energy. Macro structure can be different and bring different results... But a calorie is still a calorie.