As far as I understand it the definitions are:
Non-eliminative structuralists believe that talk of structures is ontologically committed to the existence of abstract structures.
In re structuralism is the belief that structures are ontologically posterior to the structures that instantiate them. So that strucutures only exist in the systems that exemplify them.
Intuitively I would think that 'in re' structuralism is a non-eliminative theory, but I cannot find any confirmation of this in any literature.
Any insights would be appreciated.