No, the Atkins diet works because most people will automatically limit themselves when eating a diet high in fat and proteins,
You are willfully ignorant. The opposite has been proven repeatedly, that even when the diet is high-calorie, it still works.
whereas the sugar/fat combination we find in many (processed) foods does not nearly have the same effect
That such a diet is unhealthy has no bearing whatsoever on whether ketosis is real.