In India the Government is notorious to request companies to block anything that they find offensive or censor worthy. The Government has absolute control over people and people just nod their heads without putting up a fight. There is lack of democracy, even though it's termed one of the worlds largest democracy.
You'll find many a times the Internet being turned off by the Government in many states when there are exams (to prevent cheating) and political hostile states, and many other reasons.
It has been shutdown [665 times since 2012](https://indianexpress.com/article/explained/explained-the-frequency-reasons-and-controversy-over-internet-suspensions-by-the-government-8005450/). I doubt that figure is small and is mostly much higher.
They event wanted all public VPN providers running in the country to track everyone's original public IP, and log all data or asked them exit the country. This was when many popular VPN providers stopped their services there.
They also block foreign remittances abroad to a great extent and only allow it for some 11-13 purposes like foreign education, maintenance of close relatives abroad, emigration, move for employment or gifts/donations, current account transactions and few other minor purposes.
The Government also has the absolute power to silence anyone or the extreme supporters of the Government parties will.
The Central Bank (RBI) loves to criticize and is trying really hard to make it illegal to perform any cryptocurrency transactions. They've tried several times and they even publicly try to educate the people on how it can make the state fiat currency weak and why it should be banned. They know several ways to discourage its use even otherwise like adding a hefty 30% + 1% TDS tax on any exchange made. There are ways around this, but it'll not last too long.
Compared to all of these, the BBC Documentary thing is a minor thing.