Wrong, he was offered a contract larger than any other team, he chose not to sign it.
As described by various outlets including the player wiki and wiki forums, the Steelers in Aug 96 (before the season) offered Woodson a 3 year 9 million extension. Rod refused it and then requested a long term contract instead (4-5 years). Pitt then offered him an extension of 5 years 10 million, which included a $500k signing bonus and incentives to push it to $13.5 million. Rod declined that as well.
After the 1996 season, he was then offered a 4 year $ 7.2 million contract including a $ 1 mil SB. This was after the season and included the injury to his shoulder, knee and ankle. He apparently was insulted and declined it. He had visited several teams in FA, none which offered contracts remotely close to what he was offered by Pitt. A 2 year 3 mil was reported. He signed with Frisco on a 3 year deal, with less than 2 mil on the first year. He was cut the next year (salary dump).
https://www.chicagotribune.com/news/ct-xpm-1997-03-30-9703300165-story.html
https://www.si.com/vault/1997/05/26...oving-that-his-best-nfl-days-arent-behind-him
After 97, Balt signed him early in Feb 98 for $5.70 million on a 3 year contract (including a $3 mil SB).
So sharpen your Ernie Adams pencil with your Bob Kraft sharpener and do the math to prove Pitt didn’t offer Woodson more $ than any other club before or after 1996.