Is it a mistake? I do not know. I do not treat it as my one anyway.
The thing is that just recently I have been kicked from my karate federation for training in a "wrong" club with the "wrong" sensei. After 7 years being loyal and active member of the dojo... I never planned to leave. I am out now. The name of the federation doesn't matter.
What I want to say: Karateka please do not "fall in love" with your federation. It provides a comfort zone for you in some sense. But being a member of any karate union doesn't make you a karateka. And comfort zone is not what karate is about.
So, keep practicing and ignore these politics (read "money") wars. The only war you should be trying to win is a war against yourself and your weaknesses.
I have just removed the badge (see picture). This is not a gesture. I am not a Christmas Tree to wear nice decorations on my sweaty dogi. If I do not belong there so let it be.
Ossu!