My critique of Taylorism was not directed at individual managers, by any means. It's firmly at that bean-counter view of the worker, as an input of "human resources" to be minimized at any cost. You'll note that Taylor was not the first person to call himself a manager.
If you want to see what Taylorism applied to war would look like, look no further than Russia's invasion of Ukraine. The spreadsheets said we have more ammo than Stalin did in WWII! It's impossible that they were all looted and all we have left are Mosins from the museum! What do you mean, sanctions prevent just in time manufacturing? We replaced all our professional soldiers with independent Wagner contractors on work release from prison and conscripted children. Why do they keep deserting? No one wants to work anymore!
You'll also note that the most famous military book of all time was not called The Science of War, but The Art of War.