Scott has averaged 3.2 yards more per attempt than all other punters combined (48.4) in those situations.
I ran a pro-football-reference.com play query for all punts in the league from the punting teams' own 35 yard line or longer. It returns 36 punters, 393 punts, 48.6 yard average. Scott's numbers in the query (18 punts, 51.6 average) match what I compiled manually in post #13 above.
So, that shows Scott at +3.0 yards on these air-it-out punts against the entire league's average. That's pretty good. But it also includes 4 punters who lost their jobs at least temporarily and 4 replacements who came off a practice squad or the street.
The 16th. ranked player on these punts is Brett Kern at 50.4. The 17th. ranked punter is Jake Bailey at 49.7. this syncs with my earlier conjecture that the difference is only a yard or two compared to "average punters" from this perspective, not a meaningful difference where there have been 3.6 such punts per game for the Packers so far.
The league average skews down because of the bottom 8 punters accounting for 79 punts averaging 42.4 yards per kick from their own 35 or longer. In the aggreate, these guys are bad punters.
By various metrics, the top 16/17 punters are closely clustered.
The value in having a guy like Scott isn't that he's in a virtual tie for #3 in gross average. It's that he's in the top 16/17 in gross, net and air-it-out punts. And he's has not had a punt blocked. This is not a disparagement. All those guys top 50% guys are pretty good.
As to that latter point, blocks, there's a caveat in these air-it-out stats. What all of these top 16/17 punters have in common is they have not had a punt blocked. This data counts a block as a punt for zero yards. The official individual punter stats do not count blocks. There have been four blocks in the league so far.
Hekker, a 4-time All Pro, has a sub-par 47.6 on these air-it-out kicks, 25th. in the league. Has he lost his leg? No, he had a punt blocked. Take that out of the data and his average goes to 52.4, top 6 and 1.4 yards behind the league leader, Bryan "Strike Out In" Anger, and slightly better than Scott.
The worst kicker in these air-it-out rankings, 36th. ranked, is Matthew Bosher with a dismal 37.4 average on 7 punts. He had one blocked. Take that out and his average is still a bad 43.7 yards, tied for 30th. He's been a solid, even if not top drawer, punter for Atlanta for a long time. Did he lose his leg? Maybe not; he's stuggled with a groin injury and was replaced by Wile for a couple of games.