Bush would have fit nicely, at least in theory, as a third-down back and change of pace for Rams starter Steven Jackson.
Adding Bush also would have qualified as a flashy move. St. Louis does not appear preoccupied with flashy moves at the moment.
The Rams have holes in their roster, but generally not at key positions. They're set with young starters or future starters at quarterback, offensive tackle, defensive end, middle linebacker and cornerback. They have numbers at wide receiver, but could still use an elite target at the position. They were mentioned as a possible suitor for Sidney Rice, who signed with Seattle, but how serious were the Rams? They could also use a right guard, backup running back and outside linebackers.
The team's reported preference for Jason Snelling and Jerome Harrison over Bush or Darren Sproles also shows the Rams want their backup running back to bring more to the table than specialized skills suited for a limited role. Snelling carried 24 times for 129 yards against Arizona last season, carrying the load effectively for Atlanta after the Falcons lost Michael Turner to injury. Snelling has three career games with at least 24 carries. Harrison has four career games with at least 29 attempts. Bush has never carried more than 21 times in a game.
Snelling or Harrison would provide insurance should an injury sideline Jackson for entire games. Bush would have given the Rams a player to supplement Jackson situationally.