For college educated and working class South Asians, the UK isn't a top migration priority anymore. In the UK, Wages are lower, prices much higher, and immigration much harder than to Canada or even Australia.

In 80s and early 90s Punjabi movies and songs "Inglaand" may have been popular, but since the 2000s "Kaneda" has the goto choice.

Most South Asians you tend to see now are there for educational tourism and will eventually move to Canada or back to India, or are from business/political backgrounds looking for a backup passport should they be prosecuted for crimes (eg. Nirav Modi, Lalit Modi, Vasundhara Raje Scindia, Vijay Mallya), though even the US ranks higher for them but they wouldn't be allowed in the US due to background checks or past criminal records (eg. Lalit Modi's attempted stint as a coke dealer at Duke). That said, they definetly send their families to the States. For example, Amit Shah's sisters live in Schaumburg IL and Imran Khan's sis is in the Tri-Valley.