An Imperial Federation as one integrated navy

How might Britain, Canada, Australia, New Zealand, and South Africa divide naval duties within an Imperial Federation?

The proposed force is an integrated fleet: mixed crews in capital ships and carriers, nationally identified escorts, and shared infrastructure and logistics.

Capital ships and carriers would serve under a broadly Royal Navy identity with crews drawn across the federation. Destroyers and cruisers could retain national affiliations while operating as parts of the same fleet. Britain might bear more capital-ship construction cost, while the dominions help fund escorts, bases, infrastructure, and supply lines. Sharing the supporting infrastructure and operating costs would make global naval commitments cheaper within the proposed federation.