I'd like to add China is a closed one-party totalitarian state ,with about 40(?) million Muslims. India is a democratic system, which is open to internal and external sources of news,propaganda and information ,with 200+ million Muslims.Because by believing in it, you are giving credibility to the news outlet. Tomorrow the same one will bite your back when they publish something Kashmir. That time you can't tell your people that it is fake news when they write about us but it is true news when they write about China.
Once you identify a news source as fake news, simply trash the whole thing. If India wants to show that China is mistreating Muslims then it can get WION do do a show and propagate that narrative. There's no need to promote NYT.
Consequently, India is more vulnerable than China to the threat of any American tactic of fomenting unrest among a Muslim minority ,in order to destabilise a nation.
Just a thought.