Funny how that question wasn't posed anywhere in your post.
There is karate, as developed in Okinawa. This is before it was adopted into the school systems and neutered. Then there is modern karate in Okinawa, the karate that was brought to mainland Japan and then there is karate in the rest of the world. Yes, I suppose you can call all these things karate. However, to me "real karate" is just that, the karate as it was developed as a true and complete fighting system way back when. It is almost impossible to find a place that teaches it. Heck, it almost doesn't exist even on Okinawa.
My point is this, people train in styles such as Kyokushin karate predominately to develop their striking for MMA. That is fine to do, but I don't understand why you wouldn't just study Muay Thai or Kickboxing instead, rather than waste their time learning karate stuff they will never use in an mma fight such as kata. Perhaps this is just my ignorance about Kyokushin. But kickboxing and Muay Thai just seem like a much more direct route to developing striking skills.