I was in Korea in 1952-53. The only interaction with the Red Cross was knowing that the Red Cross workers (women) were continuously sending money home.
When I got off the boat in San Francisco, the Red Cross was there to give us coffee and doughnuts. As soon as we got them, the bus to Camp Stoneham came, we dropped the coffee and doughnuts and boarded the buses. We didn't wait to get the tab.