From what I have observed in the neighbour boxing club, its is similar. Especially their group classes, but individual training aswell. We dont really do rope jumping very often, but thats about it in difference.
I guess HIIT cardio training with never ending burpees and other stations is not HL video material. Neither are pushups, pullups, squats, long distance running (done off-class, naturally). My dojo have good access to stairs. I hate stairs!!!! we quite often mix sparring and cardio exercises. Last few years, Tabata has become popular as class ending exercise. Kettlebells too.
Every serious kyokushin guy are encouraged to have a weight program -off-dojo if the dojo does not have the equipment.