Okay so just to be clear, Joe's rookie playoff numbers were 44% in completions, 146 yards per game, 1 TD, and 3 INTs in three full games. In all honesty, you'd be hard pressed to find a rookie QB that had a worse playoff performance. Off the top of my head, I know Ben Roethlisberger, Russell Wilson, Matt Ryan, and Dak Prescott had better performances. These are my "I didn't double check" players
Now, I'd also venture to guess Andy Dalton (sadly), Andrew Luck, and Mark Sanchez (he was clutch in the playoffs for NY from what I recall) were all better as rookies also. And after checking these out, I'd say they were better also. Sanchez can't really be argued. Luck and Dalton can to an extent, but not to me since both had higher completion percentages and yards per game. There 0 TD percentage does fall below Joe's .333% though so that's something.
I'd venture to guess not many rookie QBs even make the playoffs, but I also doubt you'll see a performance as bad as Joe's for awhile.