But the tube of air needs to be given speed to be moved out of the way. Give the air twice the speed and it takes four times the energy.
The cals used is not the same.
For non-professional commute and tour cyclists, cals per distance can be regarded as constant. Mine is 55 kCals per mile.
In the real world when a cyclist is out and about, exterior factors like the weather adjust calorific values such that the difference between riding at 14 mph and 15 mph becomes insignificant to the the point of the rediculous.
I don't use cals/km anyway. I've done roll-down tests and calculated my Cd. I use a kW per kmh 'road load' curve and everything else adjusts this figure.
I use the W vs duration curve ( posted many times ) to predict my Watts vs time, then back calc to get expected speed from the predicted Wattage. Four iterations gets it more or less bang on.
Temperature, wind, clothing, climbing and food stops adjusts this raw value.
I get a predicted time for a 100 Audax to within 5 minutes.
Calories are another thing. I seem to get round a 100 Audax on 20% of the calories internet calculators predict. I get round a 200 Audax on about 40% of internet predictions.
If my trip is less than 50 miles, I forget extra food.