Uyghurs also call it "laghman". They don't refer to it as "lamian", which is Chinese. If you tried to tell a Uyghur that their laghman was "Chinese", they'd be quite upset.
There is no such a thing as 'uzbek lagman' Uyghur lamian. Uzbeks never know how to cook 'lagman' - Uyghur traditional 'spegeti' or hand made noodle, and 'lamian' comes from Chinese language, which is Chinese name for 'lagman'. Correct name of the Uyghur traditional dish is 'Laghman'. Who ever wrote this, do proper research before writing up something about a nation/people's cultural food, tradition and about who they are. Thanks!