A larger carrier force and Fleet Air Arm control

Would more British light carriers bring the Fleet Air Arm back under Royal Navy control sooner?

Yes; a larger naval aviation community would become more self-sustaining and harder to treat as a peripheral component outside the navy.

Every additional carrier expands the aviators, maintainers, doctrine, and operational experience rooted in the fleet. That larger community gives the Royal Navy a stronger case that naval air power is integral to its missions rather than a service supplied from outside. Force structure therefore changes interservice politics as well as combat capacity.