I think a partnership would be great for employees and shareholders, it would be a win-win.It will also help Amazon compete against Walmart or Costco.The Amazon acquisition of Whole Food shows that it is interested in physical presence.
However I don't believe Amazon would be interested by Sears stores or deliveries center.
1- Amazon is already building it's own delivery centers.
2- There are many more brick and mortar retailers that have stronger position than Sears and could partner with Amazon.
3- There is an overabundance of empty stores and failing retailers that Amazon could take advantage of.No reason to partner with Sears now, they could wait for the bankruptcy.
I hope I am wrong but I don't see any reasons to believe this will happen.