I don't think the punter is fast enough to out run everyone in 9 seconds. Then they get the ball in your territory with a shot to win it. You don't need to use the punter for that. He can also throw the ball out of bounds and waste a few seconds if he feels like it. Lots of options.
Got to be an awful feeling to catch the ball on 4th, fall over without being touched, and not have a chance to get up and get the first. But suck it, Eagles.