Great point.

Reminds me of an episode from The School of Greatness podcast. This guest suggested how doing rigorous exercise immediately after a sleep-deprived night can help you ward off your fatigue temporarily 

cryotosensei

HealthAndFitness

Which is worse, lack of sleep or lack of exercise?

Easy answer: Lack of sleep. 

It's simple. Just don't sleep a night and you'll most probably leave your exercise schedule. You'll be feeling nothing except laziness. 

People who sleep less, don't do any exercise. 

> Without enough sleep, people tend to overeat and choose unhealthy foods. Sleep deprivation affects the body’s release of ghrelin and leptin, two neurotransmitters that tell the brain when to consume calories. People who are sleep deprived are more drawn toward high-calorie foods. Chronic sleep loss has been linked to having a larger waist circumference, and an increased risk of obesity.

Ultimately they can't do exercise.  