Underway is correct.
In Gulf War one, however, even with Protecteur, the USN ran the first option: Threat box for combat vessels and Rear area box for the supply train. The supply train had its own escort force fooprotection and the whole rear area, escort included, was run by Canada - the only non American command at sea.
So, in such case, Colin, it is the combat vessels that rotate in and out of the rear to refuel under protection, except unusual circumstances (such as getting caught in unexpected action and not having enough fuel to go to the rear) when a single support vessel, escorted appropriately, must go in the threat box to resupply someone. Happened twice in GW1 IIRC.