Kelley's Pulaski Academy high school football team never punts and always onside kicks, and they've won three Arkansas state championships in the last 10 years as a result.

It'll convince you that teams should just never punt, and always onside kick it.

 

The traditional assumption is that punting reduces your opponent's chance to score. But in reality you only reduce your opponent's chance a little bit, and you reduce your own chances to 0%.