Would cruiser aircraft operate through the squadron carrier?

Could aircraft carried by cruisers land on and operate from the squadron's assigned carrier?

Potentially, but later light carriers may carry enough fighters and search aircraft that separate cruiser aircraft become unnecessary.

Aircraft associated with the cruisers could potentially land on the squadron's carrier. If the light-carrier design grows beyond 10,000 tons, its own air group might include twelve fighters with twelve or twenty-four reconnaissance aircraft. That capacity could reduce the need to distribute aviation across individual cruisers. In parallel, a counterfactual 27,000-ton Ark Royal could push the subsequent Illustrious class closer to the later Implacable design.