As an Indian who grew up in a medium sized town in India and who has lived in a medium sized town in the US, I would argue that the US health system is much much superior to the Indian heath system. If you want to talk about private clinics in India, compare them with the treatment that you will get in the US if you are paying out of pocket (as you'd do in private clinics in India), or at least with what you'd get if you have a good insurance plan in the US. The quality of treatment in the US is much better.

People facing an expensive medical procedure may have higher chance of survival in India, but people facing emergency medical procedure certainly do not. Have you ever faced a medical emergency outside of the big metropolitan cities in India? My father had a cardiac arrest and he lost his life because neither the ambulance nor the hospital had a working defibrillator. And could not find one for the three hours that he was in the hospital (This incident took place in a state capital and not some tiny town). In contrast, the emergency response system in the US is amazing. Even the ambulances are well equipped with emergency care equipment.