Unlimited British warship production against Italy and Japan

How would Italy and Japan respond if Britain could produce escorts and battlecruisers almost without limit?

The assumed production advantage would let Britain attack the Italian fleet and protect Mediterranean convoys, leaving Japan with little prospect of fighting successfully.

The counterfactual allows Britain to reproduce escorts and Renown-type ships in whatever numbers it needs. The same overwhelming numbers used against submarines could then be applied in the Mediterranean. Britain could attack the Italian fleet while escorting convoys through contested waters. Japan would face an opponent whose naval strength could expand almost without limit. Under that assumption, finding a workable way to fight becomes the main problem for Britain's enemies.