The whole thing is a bad idea, overcomplicated and likely annoying to use for little added depth... or even reduced depth in practice because it limits ship design. Given how fuel consumption scales, it's going to be preferable to have vessels that don't need underway refueling, or at least don't care about refueling rate. Or go all-out for short-ranged hangar-based craft, commercial hangars adding some new options.
Giving ships the necessary range without outside support was rarely the challenge. For seriously fast ships under tonnage constraints, the major benefit of tanker variants was efficiency through avoiding overhead (fire controls, ECCM, maybe additional armor).
No longer the case. Even if cheap compared to combat systems and even if we get a fighter-sized variant, moving the bulk of the refueling system is going to be expensive making it preferable to build longer-ranged fighters instead.