I think you are on the right track. Operational warfare is largely (but not exclusively) concerned with logistics. Operational objectives link both up to strategy and down to tactics.
I go back to my favorite example, which is Operation Michael in 1918. Here is an excerpt from A World Undone by GJ Meyer, which describes the situation after German Storm Troops had successfully broken through the Allied line:
Michael's tactical successes did not give rise to strategic success because the two were not linked. This is because strategy and tactics are not inherently linked by their nature, as Mr. Owen suggests. This is the realm of operational warfare. In this case, had Ludendorff pressed for the French communications hub of Amiens as his operational objective, and been able to reinforce success toward the objective with men and materials (although there were practical problems with the latter), he might have succeeded in splitting the French/British line and pushing the Brits into the sea.No one including [German Chief of Staff] Ludendorff could have said at that point what the purpose of a continued...advance was supposed to be. His astonishing progress gave rise to a question: progress toward what? What actually was the value of the ground he had taken and the great expanses of territory that lay open in front of him? The absence of an answer exposed the emptiness of the Michael operation... "We tear a hole in the enemy line," Ludendorff had said when challenged, "and everything else follows."
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