I am A 2nd dan blackbelt in CDKTKD, and I am under the WTF and the Korean TKD Association. We don't hold to tightly to the WTF or the KTA, because we don't like to get into the politics. From what I know of CDK, it is more influenced by the hard japanese styles than the rest of the TKD styles. It is a bit more burtal as well, but that may be because of the lineage of my instructor.
My instructor is 1/2 Japanese, so he get's into that sort of idea. His instructor is a U.S. marshal, and teaches combative tactics. He learned CDK, while in Korea in the armed forces, from our GM Ahn Chang Ho. Who before teaching privately, tought the ROK army. So it could just be because of all the military influence that our style is so hard and self defense oriented.
If it is just CDK, our style is a more self-defense oriented art, though we enjoy tournaments, and go to a few a year. CDK has more punching and deeper stances as a general rule. I couldn't tell you about the association your talking about, but as Kodanjaclay said
Kodanjaclay said:
if they are very close to ITF then they are not that close to CDK.
From what i know of the ITF, CDK and the ITF are nothing alike, so if it is similar to ITF, then it is a new form of CDK.
This is all assuming that my style is not the way it is because of military influence.