Hello Matt,
we are experiencing the same error in our landscape. The design is that we have all satellite systems connected and providing data towards PI Prod SLD (7.31) and from that one it is pushed to other SLDs - PI Dev, PI QA and Solman QA and Solman Prod (7.02).
We are encountering issues while data transfer is made from PI Prod SLD to Solman SLDs with error message "Socket output stream shutdown by peer", basically the same one as described above by Christian.
After I read your reply on his issue, I believe we have the problem as you describe... that the Solman can be only a source, not a target.
Could you please confirm that?
Thanks & regards,
Peter