The fatality rate in Wuhan in the initial outbreak was 5% when hospitals were overwhelmed. It took a massive response to bring things back under control. About 40,000 medical staff were flown in from elsewhere in the country to put a lid on the situation, along with strict lockdowns.
It makes no sense for India to only have ~4k official fatalities a day given the scale of this outbreak. If they're running out of hospital beds, oxygen, medication, vaccines, cremation grounds and firewood, then the scale of the suffering has to be much greater.