Earlier quoted context omitted.
> though obviously, the occupation of India was far more brutal The 'Americans' were the occupiers. Native Americans have quite a tale to tell about brutality.
European, and later American, treatment of Native Americans was not colonization, just straight-up genocide. It's not really relevant to the question of the long-term impact of British institutions in former colonies.
It seems to be conveniently forgotten that many tribes were complicit in aiding and abetting Europeans in exterminating their rivals as well. Cortez conquered the Aztecs with 600 Spaniards... and 200,000 Tlaxcalans. The Iroquois confederation did most of the work of exterminating other native populations throughout the Great Lakes region.