I don't think there will be a naval KAAN, we are discussing this hypothetical when its likely not the route Turkey takes. The route that has been mentioned is Hurjet and Kizilelma along with ANKA drones.
There will be navalized KAAN but it is too early to say this now
Aircraft Carrier will enter service in the next 10 years
Navalized HURJET is a toy to match with enemy Fighter Jets like RAFALE and F-35
France and Greece threatening Turkiye in the Eastern Mediterranean
and we have to control the south of Crete as well on the way to Libya
If we protect our national interests in Libya and in the Eastern Mediterranean
We need a real Fighter Jet like KAAN to use on a real Aircraft Carrier to match with French Aircraft Carrier and Hellenic Air Force action
When their Navies positioned in the south of Crete with Aircraft Carrier , we must deploy our aircraft carrier there too to protect our rights and to respond to them
We will not use AC against PKK or terror groups
We will use AC to protect our rights in the Eastern Mediterranean and in the high seas
and HURJET can not protect our rights
Navalized HURJET is just for the beginning and will be a first step to gain experience to operate Carriers including TCG ANADOLU