If it weren't for Christians starting a schooling system in India, the limits of education would still be the limits of the Brahmin caste.
I have plenty of information on Indian schools, as I have taught in two of them in Delhi - one Christian one and one in a Jughi Slum.
Not post-Independence. You yourself mentioned the affirmative action taken by the Indian government to reserve seats to the disadvantaged groups
Besides, that sort of argument is like telling that the Christian schooling system wouldn't be teaching mathematics if it weren't for the Hindu Decimal system.
Would you extend that logic to the Japanese, the Koreans and others, where the societies are not Christian, but the facilities are world-beating?