Couple years ago, I visited Japanese forum, and there there are some drawings of follow on of Izumo class of large destroyer. I don't know if the drawings come from official sites or another fan drawings. Still if China did manage to launch 4 catobar carriers as they plan, I believe Japan will go to a follow on design.The Kaga will follow suit after the Izumo is completed. What will be interesting is if the Japanese redesignate the ships as CVs.
Still don't think Japan will call it CV, they will call it perhaps aviation destroyer ?
Hope they will call it Shokaku and Zuikaku, after all that the best IJN carriers.