The ‘everything is sugar’ meme really frustrates the conversation about nutrition and does lead to people making bad nutrition choices, as I’ve personally observed IRL.
One can argue that you might be healthier in the long run with carbohydrates, I’m inclined to disagree, but to argue that you can’t get energy without them is just objectively incorrect.
0 - There is a tiny percentage (10 cases) of the population with the inability to build up body fat thanks to the Mardanoid-progeroid-lipodystrophy syndrome. Those with the syndrome can’t store excess calories in the form of body fat, and must eat continuous small meals to meet their metabolic needs. Curiously it seems like the lack of body fat makes their metabolism incredibly inefficient, as they are reported to average 5,000 to 8,000 calories a day. I presume this is because every calorie they eat is “use it or lose it”, resulting in a lot of waste.
1 - Humans can store some glucose in their liver and muscles for immediate use. But strenuous activity can easily exhaust this supply, so it’s not a reasonable source of energy for even moderate fasts.