In typical fan fashion, we always overvalue our own players. The Denver Broncos cut 20 players on September 5th and just one of those players were claimed by another team. That player, linebacker Steven Johnson, was picked up by the Tennessee Titans where perhaps another former-Bronco, Wesley Woodyard, put in a good word for him.
Rest easy, Broncos fans, the entire NFL only put claims on 27 players in the hours after the September 6th waiver wire opened. That means several teams did not have a single player another team viewed as worth of claiming for their 53-man roster.