These mysterious mummies could be those related to the Ossetian ancestors, Alans and Sarmatians. The article mentions, that some track them to contemporary Iran. But rather, they should be attributed to Iranian speaking nomads – Alans and Sarmatians. Because Iranians themselves were settled and didn’t venture to go as far as western China.
It is amusing to see how the Chinese officials are trying to twist history in order to have more justification for the national myth. I’m afraid, though, the mummies have nothing or little to do with the Uighurs, who claim to represent those peoples. The Turkic peoples, as the Uighurs are, appeared on the historical scene, i.e. emerged from the heart of Eurasia, very late, only a 1000 years ago or so as far as modern archeology can suggest.