I was Military Police in Desert Storm. Once in country all our gear was in the truck (HMMWV). We lived out of the truck and at times would pull into another unit's compound in our Area of Operations for resupply or support for chow and hygiene. You could get supplied with necessities at any unit without any paperwork at all. Just load what you needed and go. It was quite foreign to us since the Army usually runs on paper.
Nothing got turned in until we were pulled from the Theatre. As a matter of fact, they had us expend all ammunition and munitions prior to returning to Saudi from Iraq so it would not have to be repacked. Talk about an open range day.