I think bench players are very important for the White Sox because they rarely have a strong AAA team that has readily available players. I think the organization needs to build some depth around the starting unit. Wise is a very adequate back-up for DeAza. He is not for LF and RF. So if there is not an adequate corner outfielder in AAA next year that could hopefully fill-in, then Wise is a poor choice as the 4th outfielder.
I would also be concerned that usually the 5th infielder is also a weak offensive player and it seems like the White Sox back-up catcher may be as well. If Wise is your best offensive threat on the bench, that may make him the 22nd player on roster not the 25th.