Pretty much as the title says. In a medium in which the launching vessel can provide momentum and you don't need to expend fuel in order to travel long distances, along with little need for standing patrols and the fundamental unsuitability of ASF for long distance travel...is there a role for a fuel tanker in ASF operations?
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In-system guerilla warfare, though you're going to want to have more than fuel on your tanker, and it ends up being more of a 'support tender' than anything else, but if your irregular forces are running fighters out of, say, the asteroids, against forces on a Planet in the inner system? you're going to want 'range extenders' for maneuver fuel, oxygen, and waste processing exchange, and you'll want them to be low-observable. (Small radar return, absorbent black paint, baffled or light-shielded engines so that your plume is minimized on at least the frontal aspect).
concievably your 'tanker' is more about carrying air and water to keep your pilot alive, and less about hauling actual fuel.