I think there is a great What If to be written about the RFC and RNAS staying seperate and equal services.
But then then one would be part of the RN and one part of the Army and there would be no independent air Service at all !
It was only by amalgamating both that the RAF was created, the FAA being part of the RAF until it was removed from the RAF and handed to the Admiralty shortly before the war. This when their Lordships first tried to get control of Coastal Command and its shore based assets.
There was never an independent naval air service, it was always under either the Air Ministry or Admiralty. I don't see how it could ever have existed independently.
Cheers
Steve