NO, but they DO NOT want to take the property back through foreclosure either.
It is often necessary to remind the loss mitigate that the goal is to sell the home and avoid foreclosure. For this reason your Realtor should be a skilled negotiator.
That is why it is critical to work with an agent, that has experience at getting Short Sales approved. From the presentation of the Short Sale package, to the lender, to working with the lenders Loss Mitigations Department and close of escrow.