AFAIK the N1K2 never operated from a carrier.
You're correct Sax. Actually the N1K2 was derived from the original N1K1 Floatplane fighter.
The N1K1J was the land based version derived from it. The N1K2 being an improved version of the N1K1J.
In fact the J2M Raiden was another Japanese Navy fighter never intended for carrier use.
As far as I know the only aircraft ever envisioned to replace the Zeke on carriers was the Mitsubishi A7M which never made it to operational service.
442w30 Some of the highest scoring Japanese Navy A6M pilots never flew it from a carrier.
Nishizawa and Sakai to name a couple.