Basically you're describing a lieutenant/sergeant relationship. The sargeant will try to give each private the same commands that the lieutenant would give, with necessary adjustments for the immediate realities of the field.
I give my team all the information I have, convey my/the company's intent, and let them work. That way, I don't have to make every little decision. I trust they will make good decisions and come to me if there's a problem.
https://en.wikipedia.org/wiki/Intent_(military)#Commander's_...
Commander's intent (CSI) plays a central role in military decision making and planning. CSI acts as a basis for staffs and subordinates to develop their own plans and orders to transform thought into action, while maintaining the overall intention of their commander.
I'll also add that it builds ownership since the people doing the work are making the execution plans. IMO, it's the really the only way to manage if the goal is to get things done.
Critically, and this is why military analogies don’t work with most large orgs, the on the ground folks don’t need to confirm with top leadership that an alternative tactic is sufficient. In messy business orgs, middle managers play it way too conservatively and try to get their bosses to green light every decision by presenting them a synthesized and watered down view (“the hill is well defended, the other hill is better”). But this is slower, error prone, and at risk of compromise to minor communication failures because the condensed time and attention for the synthesized logic won’t capture the full reasoning (“I don’t get why the second hill is better. Just do the first one”).
I would push back a bit on your second point and say that there are many decisions around tactics made in business that are not confirmed with higher ups. This is why your expanded first point is so important. People at all levels of the org are making decisions all the time and you want them to have the most complete picture possible when doing so.
Unironically, a lot of modern war material like "Band of Brothers" is relevant to management and leadership in vertical organizations - which is what most companies are, at the end of the day.