I had my modules updated and voila! a new problem waiting to be solved.
The node-links section is being shared by the "print" (now "Printer, e-mail and PDF versions" module) and "service_links" modules. After the update process, the service links had been placed between "print" and "email" (parts of the print module). I don't like this.
So… how can someone manipulate the order of the objects in the links section? If you simply want the objects of one module to be in front (or after) the other module's objects, the answer is "module weight".