FYI, the Tough Man Contest was never an MMA event. It's basically an amateur boxing competition marketed for untrained fighters.
Meh, you can be a splitter or a lumper as far as terminology goes. Makes no difference to me so long as you can communicate your point. You can say "he faked a rear leg kick, then used the momentum from the leg action to help power a leaping right cross/reverse punch" or you can say "he threw a Superman punch." One way is more concise, but whatever floats your boat.
CV productions say they did the first MMA in the USA so guess you had better take it up with them for false advertising the. It does say they did boxing also but they are quite definite about the MMA.