A standard AA gun still faced fire-control production limits

Would a standard Royal Navy medium-caliber anti-aircraft gun have been worthwhile even with fire control somewhat inferior to Mark 37?

Yes, but the improved gun would drive new control requirements, and producing sophisticated directors in quantity would remain a major wartime constraint.

A workable heavy anti-aircraft mount would matter, but its improved gun would also drive the control system's development. Britain had capable devices such as the fuze-keeping clock and high-angle control system, yet later high-technology systems competed for scarce skilled labor and factory capacity during the Blitz. The high-angle control system was accurate at long range and readily adapted in the Mediterranean, though it became more problematic at closer ranges. Even the United States struggled to produce enough Mark 37 directors for its own ships and promised Allied installations. Designing an advanced system and manufacturing it in wartime quantities were separate problems.