Who's carriers?
Not ours - in the timeframe quoted it's a Typhoon replacement and the F-35B will be operating from the carriers - which I can't see ever getting a catapult system after the last fiasco.
The USN are planning on the F-A/XX. Everyone else who is a possible customer is staying STOVL/VTOL.
That does leave the Chinese - but they'll steal the plans anyway......