Finally, evidence —

https://www.livescience.com/64086-low-carb-diets-may-burn-more-calories.html

When the researchers compared the calories burned by participants who weighed the same, they found that those on the low-carb diet burned 209 to 278 calories more per day than those on the high-carb diet.

If this difference persisted over time, it would translate to about a 20-pound weight loss over three years, without a change in calorie intake, the researchers said.

The effect was greatest among participants who naturally tended to secrete high levels of insulin after consuming glucose. (Insulin is a hormone that helps get sugar, or glucose, from the bloodstream into cells). Among these participants, those on the low-carb diet burned around 400 calories more per day than those on the high-carb diet.

This finding is consistent with the carbohydrate-insulin model, the researchers said. The model proposes that a lower- carb diet will lower insulin levels and "produce other beneficial hormone changes that lead fat cells to release their pent- up calories," Ludwig said. "With more calories in the blood — not trapped in fat cells —  the brain and muscle have better access to the fuels they need."