You're thinking just in terms of proteins and fat. Your body needs the excess carbs (literally from anywhere, soda or cheeseburgers) to fuel ATP production in order to be able to fuel / repair the muscles. If you do not have the excess carbs you will not product ATP and you will not repair and build the muscle.
Again this is your straw man tactic trying to say "in your logic 5000 calories is better than 2000 calories" which has never been the argument. This is just a feeble attempt to "win" instead of learn.