Would a larger carrier need larger replenishment ships?

Would a larger carrier require larger Royal Fleet Auxiliary ships?

Possibly, but the added support demand could also be met by operating more replenishment ships rather than much larger ones.

Carrier support was a fleet-logistics choice rather than a fixed one-for-one rule. Larger Royal Fleet Auxiliary ships could carry the added burden, or a navy could distribute it across more auxiliaries. The required increase in support-ship size would be real but not dramatic. The choice was between concentrating more capacity in each support hull and distributing replenishment across a larger auxiliary force.