That is irrefutable. Eat 4 eggs fried in butter and then measure blood sugar an hour later vs eating the same amount of sugar by weight on separate days, on an empty (12 hour fast).
Exercise temporarily raises your heart rate and systolic blood pressure, yet avid exercisers have lower RHRs and SBPs; how do you know it isn't the same with carbohydrates, provided fat (especially saturated) is restricted?