Paps is one example. Ortiz also said at the end of the season that he didn't think he could keep playing for an organization with "all that drama" all the time.
We rarely hear about the offers that players turn down, just the ones they accept. My point is this: if the money being offered by a team that has its act together is the same or nearly the same as the money being offered by a team that is clearly dysfunctional, which team has the advantage? Would a player be more likely to come back to the team that is more "professional" and ask them if they would like to match the offer made by the team that is perceived as less professional?
You need every advantage you can get in this game. As an example, I look at the Patriots. Though they have not won a ring in several years, they are in the thick of it nearly every year. Players WANT to play for them, and they leave money on the table to do so. Example: Randy Moss, when he signed. Others as well.
You do not have to agree with this, obviously, but IMO a sound well managed professional appearing team is how I want the Sox to appear.