It's likely that Broxton would be elsewhere had not the Reds been willing to give him the contract they did. Some might call it an overpay, but you have to weigh that against the team's approach as a whole. Have other needs gone lacking? Is the team only making a half-hearted attempt to win, or is it going all out (in which case, if successful, overpays get erased at the bottom line)?
There is a wide gulf between what Krivsky et al gave Cordero, given the team the Reds were, and what this FO is giving Broxton to be the closer (and/or closer insurance) for this team.