If Everett refuses the assignment, he would be available to all 30 teams such as when Brandon Wood was too. Pirates GM Neal Hungtington went after Wood right away to add depth to the left side of the Pirates' infield. Because Wood has not produced, hitting only two home runs and batting .227 in 42 games, Everett could be a strong possibility for the Bucs.
Although Everett might not be an improvement at the plate (proven by his .217 average this season), he can sure help the club. Not only will a World Series winning veteran help in terms of leadership, a very solid glove will be provided. After all, he was only brought in by the Indians for his defensive skills.
But because the roster seems to be solid as of now, with the Pirates only four games back, a fan such as myself might question, "why change something that isn't broken?" The answer to that, as I figured, was that in order for any team to be a contender, you must make even the smallest improvements.
In this case, that would involve demoting somebody like Brandon Wood to the minor leagues to get some more experience and playing time. With even some stories about Wood doing better in Japan, I would not be surprised if he were to be sold. Also note that Pittsburgh does not have the biggest budget.
Rumors of retirement has lurked for the 34-year-old shortstop, but don't count on it, yet.