I think most of those suggesting we dump Yoshida or Hicks recognize the need to pay 60-80% of their salary or take back a sunken contract to offset the sunken cost sent away. (Or, include value with other players that some rich team wants badly enough to take on some or most of the contracts.)
If we are walking a tip rope on the winter budget, like most of think we are, then "saving" a few $Million, even if just $3-4M AAV might be just enough to get an Alonso, instead of Suarez or Polanco, a Suarez or Polanco, instead of a Hoskins or Naylor, etc...
A simple trade of Duran for Lodolo saves $3.5M AAV. That does not sound like much, but $48M vs $45M is better, $33M vs $30M is better and $23M vs $20M is better.
I'm not predicting we trade either. The types of deals I have suggested all seem flawed, to me. I doubt it can be done, unless we take on more salary than we give up. Most teams looking to dump salary, do not want sunken salary in return, even if it's less.