Against: Continuity
One of the biggest points of emphasis that the Titans’ head coach preaches is continuity. In fact, it’s a big reason why Vrabel decided not to name a new defensive coordinator, as opposed to bringing one in from the outside.
Signing Brady would be the exact opposite of continuity. The Titans’ offense would now have to restart with a new quarterback under center one season after the team was incredibly successful with Tannehill and finished just one game away from the Super Bowl.
With Tennessee knocking on the door of being a true contender, making a change at the most important position in the NFL would be a huge risk.