with all due respect, what you are doing is working backwards from results to the assumptions you hold to be true.
the logic: P (good coaching by the HC) implies Q (win). Q (win) therefore P (good coaching by the HC). not the way it works.
aside from the real world fact that there is a whole range of possible causal relationships....we already know that the decision-making mechanism during a game is split among three individuals and that the run calls are made by callahan. now, there are individuals who are comfortable in simply accepting the logic you want some of us to adopt: win = good coaching by the HC. that formula, of course, doesn't explain many types of observable phenomena (e.g., HC with winning records being fired). it's a short-cut intended to solve other problems.
academic? yea. sure. but so is selling some grand generalization that masks the real complexity.
anywho, we can all agree that the outcome was a good one and leave the matter of who deserves the credit vice who is accountable for another time.