Writer Harjap Singh Aujla has written extensively on India and Pakistan and here's his take on the current state of Lahore's culture in India. Over time as the refugees form Lahore spread out to different parts of India, the Lahore's culture and specially the Punjabi language is fading away outside of Punjab.
https://southasiamonitor.org/detail.php?type=cult&nid=5009
(Originally published in Daliy Times)
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The starved and impoverished hapless refugees never cared for their language and culture. Survival was uppermost on their list of priorities. According to the 1951 census, more than half of the million plus population of Delhi consisted of Punjabi speaking Hindus and Sikhs from Pakistan. Within the next ten years, they worked the hardest and thus established themselves financially, but in their quest for a better life in an alien city, they unknowingly started losing their culture. With the passage of time, the immigrants primarily from U.P. and Bihar started out numbering the immigrants from Pakistan. The older Punjabi speaking generation started diminishing in numbers and their younger generation was virtually unexposed to the ancestral typical Punjabi culture. Famous writer Khushwant Singh often wrote in his column that he used to go the Khan Market for shopping and gossiping, because most of the shopkeepers were from Lahore, he knew some of them before partition, but by the start of the new millennium most of the first generation is dead and the second and third generations do not speak Punjabi. Most expatriate Punjabis and their kids in Delhi understand Punjabi, but don’t speak it. Within the next few years, spoken Punjabi will also virtually elope from most of Delhi.