Did I miss something? Why would you write "Whether or not the kata have real purpose?""Whether or not the kata have real purpose?" EXCELLENT!! That is what makes karate traditional or not. The Rengokai in Okinawa says 50 years of consistentcy makes a style traditional. I believe Kyokushin has 50 years in exsistence.
To be recognized by the Okinawan Prefecture Karate Rengokai as being a traditional karate system or style, certain criteria must be met. The system must have existed at least 50 years. In addition, it must have maintained it’s original forms as taught by the founder of the style, with no variations.
You must have forgotten the rest of the requirement. The other element is that the system must have maintained its original forms as well. Oyama studied Shotokan for several years then swapped to Japanese Goju where he rose to 8th dan. But Yamaguchi changed the Goju kata and Japanese Goju is different to Okinawan Goju in other aspects as well. He introduced many kata and made four up himself including Garyu.
You could call Kyokushin a traditional 'style' as long as it is identical to the style taught by Oyama back in the 50s but since his death it could be argued legally that NONE of the Kyokushin schools are legitimate Kyokushin apart from the original Honbu, IKO. All other schools have broken away and many have changed things.
So technically, by this definition, Kyokushin, if still practised with all of the kata from its inception could be 'traditional' but still would not be recognised by the Okinawan Rengokai as it is not Okinawan.
At present, there are only three recognized styles, Shorin-Ryu, Goju Ryu and Uechi-Ryu.
Isshin Ryu is trying to achieve recognition. :asian: