Generally speaking, Logistic shall interfere only if badly needed, it is some kind of Weapon/food MASH (without Gould und Sutherland ).
People on the battlefiel have their own care kit (several slings for their bows, cleaning kit for their guns, honing stones to whettle their blades).
Let's imagine in Muromachi, an army ready for the battle, it means let's say 15000/20000 soldiers (it could be greater number); 30% had swords (let's imagine), it means 4500/6000 blades. Whatever the logistic, fat chance to have a sword polished. I am sure that soldiers were rather on their own and in case of surviving matter, I would not take chance and take a ticket to queue up and have my sword repaired.