Also, what does it matter that there's more energy per gram of fat versus carrots? Your body knows when it has enough energy* and you stop being hungry. Consider 19th century explorers eating pemmican (made of 50/50 fat and dried meat - they avoided the versions with berries and sugar) they would eat tiny amounts - less than the meat in a McDonald's cheeseburger as a days food, despite the fact it hardly filled their stomachs

*Though on high carb your body will say it wants ~~more~~ all of it, since carbs are only available briefly in summer in history so you want to eat as much as you can. As a bonus, carbs from plants are half fructose and the fructose is turned to fat directly. You want to save some summer energy for winter