The math doesn't check out. "Each family would get more than $7,200 in annual coverage"; "better health care for 1.3 billion people" and "Modicare is expected to cost the Indian government less than $2 billion annually" seem to be mutually exclusive. There's no reasonable way for health insurance/coverage to be so underutilized that on average only $1-$2 of $7200 would get used.
So let's be realistic shall we? Of those 1.3 billion people hardly 0.1% of them might fall ill in any given year. That's 13 million people. That's still a huge number. Of them how many do you think would be critically ill? 100%? 75%? 50%? 25%? Let's take 25%. That would still be a huge number of critically ill patients (3.25 million). The total number of cancer patients in India per year is around 7 lakhs, which is 0.7 million (http://cancerindia.org.in/statistics/) so my guesstimate of 3.25 million makes sense (even though I feel it's higher then what the actual stats are). Only such kind of people would need the $7,200 insurance because critical illness care is cheaper in India compared to any other country. You don't need $7,200 to treat malaria or flu or to get your wisdom tooth removed (https://timesofindia.indiatimes.com/city/ahmedabad/Wisdom-li...). You need that kind of amount if you get cancer/stroke etc. Of those 3.25 million patients what percentage do you think are people who can afford private healthcare and those can't? Of those who can afford how many of them are covered by their employers group health insurance or have their own insurance purchased as part of tax saving initiatives? Now you do the math and you'll get your answer.