I did not do a full literature study of the claims of the article, as that was meant as an illustration of the point, and it was the first relevant link that popped up.
Whatever the alleged fabrications of the BBC might have been or not been for the Himba experiments, similar observations have been made for other groups as well, from Amazonian tribes, to population groups in Papua New Guinea, to Aborigines in Australia. And the MIT research link is discussing a very similar result.
That languages influence how you perceive and see the world has been well studied and is well documented.
I do not think the actual experiments demonstrate this. The experiment the BBC demoed probably would, but it was fabricated. The actual experiments just demonstrate a pretty obvious aspect of learning. If you tell somebody who doesn't play chess all the names of the pieces, and ask him to tell you which is the rook, he's going to be slower and less accurate at it than somebody who plays chess. But there's not some huge epiphany like you can show him a collection of 5 bishops, 1 rook, and him be unable to tell which is different. It's no different with colors, or any new term.
I have personal experience with this, learning Russian. They don't have just blue, but rather a term for dark blue and one for light blue. It's hardly some eye opening thing - it's basically sky blue vs ocean blue. It's obvious and easy, but obviously I will always be slower than a native on a quiz of which is which for reasons that have nothing to do with the colors. Vice versa, compare our speeds in English with 'sky blue' vs 'ocean blue' and I'd be back to winning.
A common trend in the social sciences is creating experiments that aren't designed to challenge one's hypothesis, but confirm it. The publication bias against negative results is probably necessary, but also turning a lot of soft science into a facade.
Whatever the alleged fabrications of the BBC might have been or not been for the Himba experiments, similar observations have been made for other groups as well, from Amazonian tribes, to population groups in Papua New Guinea, to Aborigines in Australia. And the MIT research link is discussing a very similar result.
That languages influence how you perceive and see the world has been well studied and is well documented.