States must be controlled by the public because they have power over the public. Governments represent the public, so they must give the public a way to decide what they should do. None of that applies to FSF India, since it does not exercise power and does not represent a population.
The purpose of FSF India is to advocate the firm ethical position that software must be free. Most of the people who like using free software reject this position, and want to make compromises we consider unacceptable. To give an FSF a democratic structure would enable the majority with their "open source" views to take control of it and change its goals and direction. The structure of FSF India is a necessary precaution to prevent that from happening. To change it is out of the question.
The FSF India's resources consist of the time and money that people choose to give to it. Those with different views are free to establish organizations to promote their views. Whatever you wish to advocate, you can do so, and the existence of FSF India is no obstacle. However, if you wish to support an organization that will continue to uphold the principles of free software, you may be glad that FSF India is one.