This is rubbish. I wouldn't say British Indians have it perfect either. At the end of the day, can any White or Black person tell the difference between an British Indian/Pakistani/Bangladeshi? British Indians get racial abuse too, you know. And look at the UK media representation of India in general. Ignorant, Simple minded and Neocolonialist. They love to slag India (and by extension, anything to do with India, including US) off at every opportunity.
On a specific point, I'd say British Indians don't really care that much about UK media/arts representation because of things like Bollywood. We get represented there racially and culturally, so there's less need to get so worked up about whether UK media is representing us properly (which they aren't by the way).
Still, I get your point in general. Personally, I think British Indians (Asians) should be exempt from the license fee, since OUR money goes towards funding things like Downton Abbey and Doctor Who too, which represents White/Black Brits well, pander to Americans who pay nothing in, but the best British Indians (Asians) will get is a small 5-min cameo from Sanjeev Bhaskar.
Blacks in the UK are getting more respect, because the UK is becoming more Americanized and African Americans get plenty of representation on our screens. That's influencing society here too. Brown people get as little/negative representation there, as they do here.
Tbh, we're aware of all these things, we just don't care that much. We're doing alright in general, regardless. The confidence of a civilization on the ascent.