Do macrophages get nutritional value from the pathogens that they eat?
In this article it is described that starved macrophages 'consume' heat inactivated bacteria through phagocytosis with enhanced ability. Starving can also induce (macro)autophagy and the pathways are connected with phagocytosis,in the macrophages under investigation it was shown that autophagy did not play role in the enhanced ability of phagocytosis. The paper however does not mention anything about macrophages utilizing the resources obtained by the digestion of the bacteria. although it would seem logical. I'll keep looking.

Edit:

I found a text book that says:


  in general cells of the macrophage series have two major functions. On f their functions ,as their name ("large eater") implies, is to engulf and, with the aid of all the degradative enzymes in their lysosomal granules, break down trapped materials int ismple amino acids, sugars and other substances, for excretion and reutilization.


Source : IMMUNOLOGY A Short course 3rd edition by Eli Benjamini, Geoffrey Sunshine and Sidney Leskowitz 1996 pages 23-24. ISBN 0-471-59791-0. I only have printed copy, but I'll try to find online version.
The other function is antigen presenting.

Thus I can say that yes macrophages and other cells do utilize resources from digested pathogens.