In Kazakh culture, this pattern is usually used in the composition of pile carpets as an independent element and as part of a particular thematic composition. The thing itself (rod, hook), which gave the ornament its name, has a rich symbolism in world culture. It can have a double meaning: attract, hold. It can mean fate and sometimes inevitability. In the Greco-Roman tradition the hook is an attribute of Dionysus and Prial, in the Egyptian tradition it is a sign of power, etc.
Most likely, in Kazakh arts and crafts it serves as a symbol of “catching” happiness, joy, etc.