Xinjiang dance is lively and graceful, with brisk and nimble steps and more detailed use of each part of the body. What you call "swinging" the neck is considered "twisting" in their eyes. Just like we think twisting is sexy and beautiful. They think that twisting the neck looks good and makes the person look more lively. This action is a skill and characteristic of their nation.
This action has no special meaning. The rhythm of this neck twisting has a lot to do with the rhythm of the music. It's just a characteristic movement of the nation.
The dance of each ethnic minority has its own local characteristics, which are handed down from tradition and are the unique and iconic skills and movements of each ethnic group.
Just like Tibetan people like to shake their shoulders in dance, this shows a kind of national grandeur and heroism.
I think that in Uyghur dance, "moving the neck" means a kind of spirituality and a kind of joy