This little nugget appeared in article linked above
"This is strikingly common in NFL history. Of the 31 head coaches to win at least one Super Bowl, 27 of them won their first championship within the first five seasons with that team. Only Chuck Noll (six years in Pittsburgh), John Madden (eight years in Oakland), Tom Landry (12 years in Dallas) and Bill Cowher (14 years in Pittsburgh) needed more than five years to capture that elusive first ring."
All 4 of the outliers are Hall of Fame coaches. Since above article was written in 2017, add Andy Reid to list of outliers as won SB with KC in year 7. And I believe he will make HOF too.