Nah. I do indeed understand the difference. Cologne is a classic example of what the training was intended to do: she is able to perform blocks and attacks at blinding speed.
Ranma's take on it was pointed up best in the Breaking Point story arc, when Ranma figured out how to defeat Ryouga using the KTA. He used the basic training motion and speed to pound the same spot on Ryouga's body hundreds (thousands?) of times in an instant, and that was a technique.
He didn't use the KTA to learn anything in that arc, unless it was whether or not he'd hospitalize Ryouga. He used it as a practical method of attack in a real world fight, and that is the very definition of a technique. It's also the step that the Nichiezu never took, as Cologne shows. She trained using it, and teaches the training to others. But she never took the motions used in the method to their next level by incorporating them into an actual attack, as Ranma did. It's another example of Ranma's ability to think outside the box, and create something new out of a method or technique other martial artists took for granted.
Thus my call that the TKA is both training and technique. It can be argued that he invented something new and just named after the training method, but that just means that since there is a training method and a fighting technique that have the same name, then "both" applies because two different things share it.