I'm not sure those are the right things to be measuring.
To really determine the effectiveness of a good punter you'd have to measure the effect he has on the defense, not directly correlating a team with good defense to the quality of their punter.
Does having a top five punter in the league v. a replacement level punter keep points off the board, does it make teams have to drive more of the field to score?
A good defense doesn't need a great punter to be good, but how much better does having a great punter make a good defense? That's the question that needs to be asked.
Anecdotally, I would point to the Texas v. Mizzou bowl game last year for what an elite punter can do to a teams offense. If you want to tell me that Mizzou starting over 1/2 of their drives inside their own 15 yard line didn't have an affect on that game I have a bridge in New York I'd like to sell ya.
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