Can't see RSN having its own "Air Force". I don't think that
many armed forces outside the US, Russia, China, UK and France have
the capability to have more than 1 "Air Force".
US alone has 4, including USAF, US Navy (jets and helos on
carriers), Army's aviators (basically helo pilots and some
transport planes), and US Marines (Bugs, mainly flying from US Navy
carriers) and LHDs(Harriers and helos).
Anyway, back to RSN, I believe the model they will take is similar
to the MPA arrangement. They will "borrow" helo pilots from RSAF
(probably even take up their payroll), the pilots are likely to be
seconded to the Navy, etc. (Just my guess).