I really doubt this would happen. The Dodgers would certainly prefer to give up cash, but I question whether even that would be necessary. A number of teams were interested in Pierre two years ago when the Dodgers signed him, the value of free agents continues to climb, and the three years left on his contract is certainly more manageable than four. I know how much you dislike Pierre, but I think you'll find that if the Dodgers do decide to move him that he won't be a boat anchor. Andruw Jones, now there's a boat anchor.
I think that when the Dodgers signed him, he was overpriced even by the market standards of the time. And he's less of a player now than he was then. In negotiating terms, the Dodgers are also in a position of weakness, since other teams know he wants out and is taking up payroll. I'm not saying they shouldn't bite the bullet, just that it annoys me that they might be paying again to get rid of him. Then again, I also thought they'd never get rid of Kevin Brown, and they managed to do that.
The Jones situation is interesting. And by "interesting" I mean both strange and excruciating. Would he take a buyout and sign for peanuts with another team so he can prove that he deserves a big contract again? Or sit on next year's guaranteed money while playing sparingly and getting booed each time he takes the field? From his standpoint, there are pros and cons to each option.