Here's another experiment. Eat 500 calories of 50% fat, 50% sugar. For example, ice cream. You'll feel much hungrier than both a fat and sugar only diet. It's fat and sugar combined that cause obesity problems.
I eat a pint of ice cream as a meal on rare occasions, it fills me up and I'm only a little hungrier than normal when the next meal time comes round, which I attribute to a pint of ice cream not having as many calories as a typical meal.
Here's another experiment - take 300 million people, tell them to eat primarily carbohydrates and limit their fats. Observe the trend for 30 years.