Just look at how selfish the CTA is, they support the Indian government not because they are righteous but because they think the land in dispute belongs to the Tibetans. It is already not good that the relationship between India and China is not getting any better, why did the CTA want to add more to it? The CTA doesn't bring benefit to people except for trouble.
The CTA always creates troubles to distract the public from noticing what they have not done. Dorje Shugden ban is one of it. After 40 years of fighting for the Tibet cause and they produce no result, the CTA conveniently put the blame on a Dharma protector who cannot defend for himself since 20 years ago. They claim Dorje Shugden is an evil spirit and he is sabotaging the CTA's effort in the free Tibet movement.
What the CTA said is really ridiculous, why would Dorje Shugden want to sabotage the CTA? Dorje Shugden is a Dharma protector, he helps to remove the obstacles of the practitioners. Sometimes he uses wordly method to bring people to Dharma. But ultimately, he is helping the practitioners to remove obstacles and to ensure the practitioners are always on the right track.