Consider: healthy people who are injected a small dose of insulin experience tiredness (reduced energy use) and increased hunger.
Contrary to eating fats, eating carbs triggers the release of insulin. Young, healthy people who have a properly working endocrine system handle eating carbs fine. But for those who don't, it's a different story. Just like those test subjects, their body limits energy consumption and experiences constant hunger.
So yeah, they don't burn enough calories and eat too much of them, but the saying so is pointless if not insulting; the question that needs addressing is why.