“I want my own space,” is certainly a product of an affluent culture. There are rich Indians just as there are poor Americans, but a culture needs a lot of people to produce it and get people immersed in it. In that sense, a desire for “my space” would seem to be an American way of life practised by others too across the globe, especially in richer families with fewer kids.
In India, admittedly, lack of space is only one of the factors why people are in each other’s business.
Which would make it seem at first glance that privacy is elusive to Indians. And that Americans who are used to space would be more private.